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Simplifying 6(q + -8) = 3(q + -12) Reorder the terms: 6(-8 + q) = 3(q + -12) (-8 * 6 + q * 6) = 3(q + -12) (-48 + 6q) = 3(q + -12) Reorder the terms: -48 + 6q = 3(-12 + q) -48 + 6q = (-12 * 3 + q * 3) -48 + 6q = (-36 + 3q) Solving -48 + 6q = -36 + 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. -48 + 6q + -3q = -36 + 3q + -3q Combine like terms: 6q + -3q = 3q -48 + 3q = -36 + 3q + -3q Combine like terms: 3q + -3q = 0 -48 + 3q = -36 + 0 -48 + 3q = -36 Add '48' to each side of the equation. -48 + 48 + 3q = -36 + 48 Combine like terms: -48 + 48 = 0 0 + 3q = -36 + 48 3q = -36 + 48 Combine like terms: -36 + 48 = 12 3q = 12 Divide each side by '3'. q = 4 Simplifying q = 4
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