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Simplify the following complex fraction.2+6×2−6×2

Perform the indicated operation of subtraction on the two rational expressions and reduce your answer to lowest terms.7x+8×2−8x+12−6x−6

Consider the following equation:x−4x+5=42Solve the equation, if possible. If there is a solution, express your answer as either an integer or a simplified fraction.

Consider the following equation:−4x−4+1x+6=1State any restriction(s) on the variable, if they exist.

Find the value of the rational expression for the given value of the variable.−2m2+1220m, m=−5

Find the value of the rational expression for the given value of the variable.−4n2+817n, n=5

Perform the indicated operation of addition on the two rational expressions and reduce your answer to lowest terms.6x−9×2+2x+1+7x+1

Find the least common multiple (LCM) of the polynomials y 2 − 3 y + 2 and y 2 − 9 y + 8 .

Perform the indicated operation of multiplication or division on the rational expressions and simplify.ba+7÷ab+2ba2+9a+14

Consider the following equation:x−7x+8=−12Solve the equation, if possible. If there is a solution, express your answer as either an integer or a simplified fraction.