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Simplifying 14 + -2(3q + 1) = 6(4 + p) Reorder the terms: 14 + -2(1 + 3q) = 6(4 + p) 14 + (1 * -2 + 3q * -2) = 6(4 + p) 14 + (-2 + -6q) = 6(4 + p) Combine like terms: 14 + -2 = 12 12 + -6q = 6(4 + p) 12 + -6q = (4 * 6 + p * 6) 12 + -6q = (24 + 6p) Solving 12 + -6q = 24 + 6p Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -6q = 24 + -12 + 6p Combine like terms: 12 + -12 = 0 0 + -6q = 24 + -12 + 6p -6q = 24 + -12 + 6p Combine like terms: 24 + -12 = 12 -6q = 12 + 6p Divide each side by '-6'. q = -2 + -1p Simplifying q = -2 + -1p
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