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Simplifying -2(4q + 5) = 3(q + -7) Reorder the terms: -2(5 + 4q) = 3(q + -7) (5 * -2 + 4q * -2) = 3(q + -7) (-10 + -8q) = 3(q + -7) Reorder the terms: -10 + -8q = 3(-7 + q) -10 + -8q = (-7 * 3 + q * 3) -10 + -8q = (-21 + 3q) Solving -10 + -8q = -21 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -10 + -8q + -3q = -21 + 3q + -3q Combine like terms: -8q + -3q = -11q -10 + -11q = -21 + 3q + -3q Combine like terms: 3q + -3q = 0 -10 + -11q = -21 + 0 -10 + -11q = -21 Add '10' to each side of the equation. -10 + 10 + -11q = -21 + 10 Combine like terms: -10 + 10 = 0 0 + -11q = -21 + 10 -11q = -21 + 10 Combine like terms: -21 + 10 = -11 -11q = -11 Divide each side by '-11'. q = 1 Simplifying q = 1
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