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Simplifying 3(x + -2) + -1q = 6(x + -5) Reorder the terms: 3(-2 + x) + -1q = 6(x + -5) (-2 * 3 + x * 3) + -1q = 6(x + -5) (-6 + 3x) + -1q = 6(x + -5) Reorder the terms: -6 + -1q + 3x = 6(x + -5) Reorder the terms: -6 + -1q + 3x = 6(-5 + x) -6 + -1q + 3x = (-5 * 6 + x * 6) -6 + -1q + 3x = (-30 + 6x) Solving -6 + -1q + 3x = -30 + 6x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1q + 6 + 3x = -30 + 6 + 6x Reorder the terms: -6 + 6 + -1q + 3x = -30 + 6 + 6x Combine like terms: -6 + 6 = 0 0 + -1q + 3x = -30 + 6 + 6x -1q + 3x = -30 + 6 + 6x Combine like terms: -30 + 6 = -24 -1q + 3x = -24 + 6x Add '-3x' to each side of the equation. -1q + 3x + -3x = -24 + 6x + -3x Combine like terms: 3x + -3x = 0 -1q + 0 = -24 + 6x + -3x -1q = -24 + 6x + -3x Combine like terms: 6x + -3x = 3x -1q = -24 + 3x Divide each side by '-1'. q = 24 + -3x Simplifying q = 24 + -3x
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