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Simplifying 4(4q + -6) + 2(3q + 5) = 7q + -1q Reorder the terms: 4(-6 + 4q) + 2(3q + 5) = 7q + -1q (-6 * 4 + 4q * 4) + 2(3q + 5) = 7q + -1q (-24 + 16q) + 2(3q + 5) = 7q + -1q Reorder the terms: -24 + 16q + 2(5 + 3q) = 7q + -1q -24 + 16q + (5 * 2 + 3q * 2) = 7q + -1q -24 + 16q + (10 + 6q) = 7q + -1q Reorder the terms: -24 + 10 + 16q + 6q = 7q + -1q Combine like terms: -24 + 10 = -14 -14 + 16q + 6q = 7q + -1q Combine like terms: 16q + 6q = 22q -14 + 22q = 7q + -1q Combine like terms: 7q + -1q = 6q -14 + 22q = 6q Solving -14 + 22q = 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. -14 + 22q + -6q = 6q + -6q Combine like terms: 22q + -6q = 16q -14 + 16q = 6q + -6q Combine like terms: 6q + -6q = 0 -14 + 16q = 0 Add '14' to each side of the equation. -14 + 14 + 16q = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 16q = 0 + 14 16q = 0 + 14 Combine like terms: 0 + 14 = 14 16q = 14 Divide each side by '16'. q = 0.875 Simplifying q = 0.875
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