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Simplifying 8.5 + 3(q + -4) = 2(q + 1) Reorder the terms: 8.5 + 3(-4 + q) = 2(q + 1) 8.5 + (-4 * 3 + q * 3) = 2(q + 1) 8.5 + (-12 + 3q) = 2(q + 1) Combine like terms: 8.5 + -12 = -3.5 -3.5 + 3q = 2(q + 1) Reorder the terms: -3.5 + 3q = 2(1 + q) -3.5 + 3q = (1 * 2 + q * 2) -3.5 + 3q = (2 + 2q) Solving -3.5 + 3q = 2 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -3.5 + 3q + -2q = 2 + 2q + -2q Combine like terms: 3q + -2q = 1q -3.5 + 1q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 -3.5 + 1q = 2 + 0 -3.5 + 1q = 2 Add '3.5' to each side of the equation. -3.5 + 3.5 + 1q = 2 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 1q = 2 + 3.5 1q = 2 + 3.5 Combine like terms: 2 + 3.5 = 5.5 1q = 5.5 Divide each side by '1'. q = 5.5 Simplifying q = 5.5
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