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