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Simplifying 6(7q + -2) = 6(6q + -3) Reorder the terms: 6(-2 + 7q) = 6(6q + -3) (-2 * 6 + 7q * 6) = 6(6q + -3) (-12 + 42q) = 6(6q + -3) Reorder the terms: -12 + 42q = 6(-3 + 6q) -12 + 42q = (-3 * 6 + 6q * 6) -12 + 42q = (-18 + 36q) Solving -12 + 42q = -18 + 36q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-36q' to each side of the equation. -12 + 42q + -36q = -18 + 36q + -36q Combine like terms: 42q + -36q = 6q -12 + 6q = -18 + 36q + -36q Combine like terms: 36q + -36q = 0 -12 + 6q = -18 + 0 -12 + 6q = -18 Add '12' to each side of the equation. -12 + 12 + 6q = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 6q = -18 + 12 6q = -18 + 12 Combine like terms: -18 + 12 = -6 6q = -6 Divide each side by '6'. q = -1 Simplifying q = -1
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