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Simplifying 14 + -1(2q + 5) = 3(6x + -2) Reorder the terms: 14 + -1(5 + 2q) = 3(6x + -2) 14 + (5 * -1 + 2q * -1) = 3(6x + -2) 14 + (-5 + -2q) = 3(6x + -2) Combine like terms: 14 + -5 = 9 9 + -2q = 3(6x + -2) Reorder the terms: 9 + -2q = 3(-2 + 6x) 9 + -2q = (-2 * 3 + 6x * 3) 9 + -2q = (-6 + 18x) Solving 9 + -2q = -6 + 18x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2q = -6 + -9 + 18x Combine like terms: 9 + -9 = 0 0 + -2q = -6 + -9 + 18x -2q = -6 + -9 + 18x Combine like terms: -6 + -9 = -15 -2q = -15 + 18x Divide each side by '-2'. q = 7.5 + -9x Simplifying q = 7.5 + -9x
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