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Simplifying 40 = 49 + -2(-8q + -4) Reorder the terms: 40 = 49 + -2(-4 + -8q) 40 = 49 + (-4 * -2 + -8q * -2) 40 = 49 + (8 + 16q) Combine like terms: 49 + 8 = 57 40 = 57 + 16q Solving 40 = 57 + 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. 40 + -16q = 57 + 16q + -16q Combine like terms: 16q + -16q = 0 40 + -16q = 57 + 0 40 + -16q = 57 Add '-40' to each side of the equation. 40 + -40 + -16q = 57 + -40 Combine like terms: 40 + -40 = 0 0 + -16q = 57 + -40 -16q = 57 + -40 Combine like terms: 57 + -40 = 17 -16q = 17 Divide each side by '-16'. q = -1.0625 Simplifying q = -1.0625
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