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Simplifying 5(x + -3) + 6 = 5x + -1q Reorder the terms: 5(-3 + x) + 6 = 5x + -1q (-3 * 5 + x * 5) + 6 = 5x + -1q (-15 + 5x) + 6 = 5x + -1q Reorder the terms: -15 + 6 + 5x = 5x + -1q Combine like terms: -15 + 6 = -9 -9 + 5x = 5x + -1q Reorder the terms: -9 + 5x = -1q + 5x Add '-5x' to each side of the equation. -9 + 5x + -5x = -1q + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 0 = -1q + 5x + -5x -9 = -1q + 5x + -5x Combine like terms: 5x + -5x = 0 -9 = -1q + 0 -9 = -1q Solving -9 = -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. -9 + q = -1q + q Combine like terms: -1q + q = 0 -9 + q = 0 Add '9' to each side of the equation. -9 + 9 + q = 0 + 9 Combine like terms: -9 + 9 = 0 0 + q = 0 + 9 q = 0 + 9 Combine like terms: 0 + 9 = 9 q = 9 Simplifying q = 9
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