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Simplifying 10q + -1(12q + -12) = 3(-12q + 960) Reorder the terms: 10q + -1(-12 + 12q) = 3(-12q + 960) 10q + (-12 * -1 + 12q * -1) = 3(-12q + 960) 10q + (12 + -12q) = 3(-12q + 960) Reorder the terms: 12 + 10q + -12q = 3(-12q + 960) Combine like terms: 10q + -12q = -2q 12 + -2q = 3(-12q + 960) Reorder the terms: 12 + -2q = 3(960 + -12q) 12 + -2q = (960 * 3 + -12q * 3) 12 + -2q = (2880 + -36q) Solving 12 + -2q = 2880 + -36q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '36q' to each side of the equation. 12 + -2q + 36q = 2880 + -36q + 36q Combine like terms: -2q + 36q = 34q 12 + 34q = 2880 + -36q + 36q Combine like terms: -36q + 36q = 0 12 + 34q = 2880 + 0 12 + 34q = 2880 Add '-12' to each side of the equation. 12 + -12 + 34q = 2880 + -12 Combine like terms: 12 + -12 = 0 0 + 34q = 2880 + -12 34q = 2880 + -12 Combine like terms: 2880 + -12 = 2868 34q = 2868 Divide each side by '34'. q = 84.35294118 Simplifying q = 84.35294118
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