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Simplifying -16 + 3q + 1 = 3(-1q + 17) Reorder the terms: -16 + 1 + 3q = 3(-1q + 17) Combine like terms: -16 + 1 = -15 -15 + 3q = 3(-1q + 17) Reorder the terms: -15 + 3q = 3(17 + -1q) -15 + 3q = (17 * 3 + -1q * 3) -15 + 3q = (51 + -3q) Solving -15 + 3q = 51 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. -15 + 3q + 3q = 51 + -3q + 3q Combine like terms: 3q + 3q = 6q -15 + 6q = 51 + -3q + 3q Combine like terms: -3q + 3q = 0 -15 + 6q = 51 + 0 -15 + 6q = 51 Add '15' to each side of the equation. -15 + 15 + 6q = 51 + 15 Combine like terms: -15 + 15 = 0 0 + 6q = 51 + 15 6q = 51 + 15 Combine like terms: 51 + 15 = 66 6q = 66 Divide each side by '6'. q = 11 Simplifying q = 11
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