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Simplifying 4(q + -12) = 2 + -6q Reorder the terms: 4(-12 + q) = 2 + -6q (-12 * 4 + q * 4) = 2 + -6q (-48 + 4q) = 2 + -6q Solving -48 + 4q = 2 + -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. -48 + 4q + 6q = 2 + -6q + 6q Combine like terms: 4q + 6q = 10q -48 + 10q = 2 + -6q + 6q Combine like terms: -6q + 6q = 0 -48 + 10q = 2 + 0 -48 + 10q = 2 Add '48' to each side of the equation. -48 + 48 + 10q = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 10q = 2 + 48 10q = 2 + 48 Combine like terms: 2 + 48 = 50 10q = 50 Divide each side by '10'. q = 5 Simplifying q = 5
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