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Simplifying 4 + 3(q + -4) = 2(q + 1) Reorder the terms: 4 + 3(-4 + q) = 2(q + 1) 4 + (-4 * 3 + q * 3) = 2(q + 1) 4 + (-12 + 3q) = 2(q + 1) Combine like terms: 4 + -12 = -8 -8 + 3q = 2(q + 1) Reorder the terms: -8 + 3q = 2(1 + q) -8 + 3q = (1 * 2 + q * 2) -8 + 3q = (2 + 2q) Solving -8 + 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. -8 + 3q + -2q = 2 + 2q + -2q Combine like terms: 3q + -2q = 1q -8 + 1q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 -8 + 1q = 2 + 0 -8 + 1q = 2 Add '8' to each side of the equation. -8 + 8 + 1q = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 1q = 2 + 8 1q = 2 + 8 Combine like terms: 2 + 8 = 10 1q = 10 Divide each side by '1'. q = 10 Simplifying q = 10
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