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Simplifying 5 + 3(q + -4) = 1(q + 1) Reorder the terms: 5 + 3(-4 + q) = 1(q + 1) 5 + (-4 * 3 + q * 3) = 1(q + 1) 5 + (-12 + 3q) = 1(q + 1) Combine like terms: 5 + -12 = -7 -7 + 3q = 1(q + 1) Reorder the terms: -7 + 3q = 1(1 + q) -7 + 3q = (1 * 1 + q * 1) -7 + 3q = (1 + 1q) Solving -7 + 3q = 1 + 1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -7 + 3q + -1q = 1 + 1q + -1q Combine like terms: 3q + -1q = 2q -7 + 2q = 1 + 1q + -1q Combine like terms: 1q + -1q = 0 -7 + 2q = 1 + 0 -7 + 2q = 1 Add '7' to each side of the equation. -7 + 7 + 2q = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 2q = 1 + 7 2q = 1 + 7 Combine like terms: 1 + 7 = 8 2q = 8 Divide each side by '2'. q = 4 Simplifying q = 4
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