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Simplifying -3(q + 1) + 1 = 6 + -1(q + 4) Reorder the terms: -3(1 + q) + 1 = 6 + -1(q + 4) (1 * -3 + q * -3) + 1 = 6 + -1(q + 4) (-3 + -3q) + 1 = 6 + -1(q + 4) Reorder the terms: -3 + 1 + -3q = 6 + -1(q + 4) Combine like terms: -3 + 1 = -2 -2 + -3q = 6 + -1(q + 4) Reorder the terms: -2 + -3q = 6 + -1(4 + q) -2 + -3q = 6 + (4 * -1 + q * -1) -2 + -3q = 6 + (-4 + -1q) Combine like terms: 6 + -4 = 2 -2 + -3q = 2 + -1q Solving -2 + -3q = 2 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -2 + -3q + q = 2 + -1q + q Combine like terms: -3q + q = -2q -2 + -2q = 2 + -1q + q Combine like terms: -1q + q = 0 -2 + -2q = 2 + 0 -2 + -2q = 2 Add '2' to each side of the equation. -2 + 2 + -2q = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -2q = 2 + 2 -2q = 2 + 2 Combine like terms: 2 + 2 = 4 -2q = 4 Divide each side by '-2'. q = -2 Simplifying q = -2
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