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Simplifying 3q + -16 = 7 + 2 + -1(-8q + -3) Reorder the terms: -16 + 3q = 7 + 2 + -1(-8q + -3) Reorder the terms: -16 + 3q = 7 + 2 + -1(-3 + -8q) -16 + 3q = 7 + 2 + (-3 * -1 + -8q * -1) -16 + 3q = 7 + 2 + (3 + 8q) Combine like terms: 7 + 2 = 9 -16 + 3q = 9 + 3 + 8q Combine like terms: 9 + 3 = 12 -16 + 3q = 12 + 8q Solving -16 + 3q = 12 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -16 + 3q + -8q = 12 + 8q + -8q Combine like terms: 3q + -8q = -5q -16 + -5q = 12 + 8q + -8q Combine like terms: 8q + -8q = 0 -16 + -5q = 12 + 0 -16 + -5q = 12 Add '16' to each side of the equation. -16 + 16 + -5q = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -5q = 12 + 16 -5q = 12 + 16 Combine like terms: 12 + 16 = 28 -5q = 28 Divide each side by '-5'. q = -5.6 Simplifying q = -5.6
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