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Simplifying 8 * 4 + -1(q + -4) * 16 = 0 Multiply 8 * 4 32 + -1(q + -4) * 16 = 0 Reorder the terms: 32 + -1(-4 + q) * 16 = 0 Reorder the terms for easier multiplication: 32 + -1 * 16(-4 + q) = 0 Multiply -1 * 16 32 + -16(-4 + q) = 0 32 + (-4 * -16 + q * -16) = 0 32 + (64 + -16q) = 0 Combine like terms: 32 + 64 = 96 96 + -16q = 0 Solving 96 + -16q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -16q = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -16q = 0 + -96 -16q = 0 + -96 Combine like terms: 0 + -96 = -96 -16q = -96 Divide each side by '-16'. q = 6 Simplifying q = 6
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