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Simplifying 3(q + -4) + -2q = 8 Reorder the terms: 3(-4 + q) + -2q = 8 (-4 * 3 + q * 3) + -2q = 8 (-12 + 3q) + -2q = 8 Combine like terms: 3q + -2q = 1q -12 + 1q = 8 Solving -12 + 1q = 8 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 + 1q = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 1q = 8 + 12 1q = 8 + 12 Combine like terms: 8 + 12 = 20 1q = 20 Divide each side by '1'. q = 20 Simplifying q = 20
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