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Simplifying 6(2q + -3) = 26 + -4(q + -9) Reorder the terms: 6(-3 + 2q) = 26 + -4(q + -9) (-3 * 6 + 2q * 6) = 26 + -4(q + -9) (-18 + 12q) = 26 + -4(q + -9) Reorder the terms: -18 + 12q = 26 + -4(-9 + q) -18 + 12q = 26 + (-9 * -4 + q * -4) -18 + 12q = 26 + (36 + -4q) Combine like terms: 26 + 36 = 62 -18 + 12q = 62 + -4q Solving -18 + 12q = 62 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. -18 + 12q + 4q = 62 + -4q + 4q Combine like terms: 12q + 4q = 16q -18 + 16q = 62 + -4q + 4q Combine like terms: -4q + 4q = 0 -18 + 16q = 62 + 0 -18 + 16q = 62 Add '18' to each side of the equation. -18 + 18 + 16q = 62 + 18 Combine like terms: -18 + 18 = 0 0 + 16q = 62 + 18 16q = 62 + 18 Combine like terms: 62 + 18 = 80 16q = 80 Divide each side by '16'. q = 5 Simplifying q = 5
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