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Simplifying 1 + 3(q + -4) = 2(q + 1) Reorder the terms: 1 + 3(-4 + q) = 2(q + 1) 1 + (-4 * 3 + q * 3) = 2(q + 1) 1 + (-12 + 3q) = 2(q + 1) Combine like terms: 1 + -12 = -11 -11 + 3q = 2(q + 1) Reorder the terms: -11 + 3q = 2(1 + q) -11 + 3q = (1 * 2 + q * 2) -11 + 3q = (2 + 2q) Solving -11 + 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. -11 + 3q + -2q = 2 + 2q + -2q Combine like terms: 3q + -2q = 1q -11 + 1q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 -11 + 1q = 2 + 0 -11 + 1q = 2 Add '11' to each side of the equation. -11 + 11 + 1q = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 1q = 2 + 11 1q = 2 + 11 Combine like terms: 2 + 11 = 13 1q = 13 Divide each side by '1'. q = 13 Simplifying q = 13
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