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Simplifying 14 + -1(2q + 5) = -2(4x + -7) Reorder the terms: 14 + -1(5 + 2q) = -2(4x + -7) 14 + (5 * -1 + 2q * -1) = -2(4x + -7) 14 + (-5 + -2q) = -2(4x + -7) Combine like terms: 14 + -5 = 9 9 + -2q = -2(4x + -7) Reorder the terms: 9 + -2q = -2(-7 + 4x) 9 + -2q = (-7 * -2 + 4x * -2) 9 + -2q = (14 + -8x) Solving 9 + -2q = 14 + -8x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2q = 14 + -9 + -8x Combine like terms: 9 + -9 = 0 0 + -2q = 14 + -9 + -8x -2q = 14 + -9 + -8x Combine like terms: 14 + -9 = 5 -2q = 5 + -8x Divide each side by '-2'. q = -2.5 + 4x Simplifying q = -2.5 + 4x
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