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Simplifying -1(4q + 8) + 6q = 12q Reorder the terms: -1(8 + 4q) + 6q = 12q (8 * -1 + 4q * -1) + 6q = 12q (-8 + -4q) + 6q = 12q Combine like terms: -4q + 6q = 2q -8 + 2q = 12q Solving -8 + 2q = 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. -8 + 2q + -12q = 12q + -12q Combine like terms: 2q + -12q = -10q -8 + -10q = 12q + -12q Combine like terms: 12q + -12q = 0 -8 + -10q = 0 Add '8' to each side of the equation. -8 + 8 + -10q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -10q = 0 + 8 -10q = 0 + 8 Combine like terms: 0 + 8 = 8 -10q = 8 Divide each side by '-10'. q = -0.8 Simplifying q = -0.8
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