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Simplifying 5 + 3(q + -4) = 2(q + 1) Reorder the terms: 5 + 3(-4 + q) = 2(q + 1) 5 + (-4 * 3 + q * 3) = 2(q + 1) 5 + (-12 + 3q) = 2(q + 1) Combine like terms: 5 + -12 = -7 -7 + 3q = 2(q + 1) Reorder the terms: -7 + 3q = 2(1 + q) -7 + 3q = (1 * 2 + q * 2) -7 + 3q = (2 + 2q) Solving -7 + 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. -7 + 3q + -2q = 2 + 2q + -2q Combine like terms: 3q + -2q = 1q -7 + 1q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 -7 + 1q = 2 + 0 -7 + 1q = 2 Add '7' to each side of the equation. -7 + 7 + 1q = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1q = 2 + 7 1q = 2 + 7 Combine like terms: 2 + 7 = 9 1q = 9 Divide each side by '1'. q = 9 Simplifying q = 9
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