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Simplifying -5(q + 3) = 4(3 + -6q) + -4q Reorder the terms: -5(3 + q) = 4(3 + -6q) + -4q (3 * -5 + q * -5) = 4(3 + -6q) + -4q (-15 + -5q) = 4(3 + -6q) + -4q -15 + -5q = (3 * 4 + -6q * 4) + -4q -15 + -5q = (12 + -24q) + -4q Combine like terms: -24q + -4q = -28q -15 + -5q = 12 + -28q Solving -15 + -5q = 12 + -28q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '28q' to each side of the equation. -15 + -5q + 28q = 12 + -28q + 28q Combine like terms: -5q + 28q = 23q -15 + 23q = 12 + -28q + 28q Combine like terms: -28q + 28q = 0 -15 + 23q = 12 + 0 -15 + 23q = 12 Add '15' to each side of the equation. -15 + 15 + 23q = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 23q = 12 + 15 23q = 12 + 15 Combine like terms: 12 + 15 = 27 23q = 27 Divide each side by '23'. q = 1.173913043 Simplifying q = 1.173913043
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