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Simplifying 8 + 48q = -2(-8q + -2) Reorder the terms: 8 + 48q = -2(-2 + -8q) 8 + 48q = (-2 * -2 + -8q * -2) 8 + 48q = (4 + 16q) Solving 8 + 48q = 4 + 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. 8 + 48q + -16q = 4 + 16q + -16q Combine like terms: 48q + -16q = 32q 8 + 32q = 4 + 16q + -16q Combine like terms: 16q + -16q = 0 8 + 32q = 4 + 0 8 + 32q = 4 Add '-8' to each side of the equation. 8 + -8 + 32q = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 32q = 4 + -8 32q = 4 + -8 Combine like terms: 4 + -8 = -4 32q = -4 Divide each side by '32'. q = -0.125 Simplifying q = -0.125
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