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Simplifying -12 + -5x(6 + -2m) = 18 -12 + (6 * -5x + -2m * -5x) = 18 Reorder the terms: -12 + (10mx + -30x) = 18 -12 + (10mx + -30x) = 18 Solving -12 + 10mx + -30x = 18 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 10mx + 12 + -30x = 18 + 12 Reorder the terms: -12 + 12 + 10mx + -30x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 10mx + -30x = 18 + 12 10mx + -30x = 18 + 12 Combine like terms: 18 + 12 = 30 10mx + -30x = 30 Add '30x' to each side of the equation. 10mx + -30x + 30x = 30 + 30x Combine like terms: -30x + 30x = 0 10mx + 0 = 30 + 30x 10mx = 30 + 30x Divide each side by '10x'. m = 3x-1 + 3 Simplifying m = 3x-1 + 3 Reorder the terms: m = 3 + 3x-1
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