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Simplifying -75 = -6m + -3(1 + 6m) -75 = -6m + (1 * -3 + 6m * -3) -75 = -6m + (-3 + -18m) Reorder the terms: -75 = -3 + -6m + -18m Combine like terms: -6m + -18m = -24m -75 = -3 + -24m Solving -75 = -3 + -24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24m' to each side of the equation. -75 + 24m = -3 + -24m + 24m Combine like terms: -24m + 24m = 0 -75 + 24m = -3 + 0 -75 + 24m = -3 Add '75' to each side of the equation. -75 + 75 + 24m = -3 + 75 Combine like terms: -75 + 75 = 0 0 + 24m = -3 + 75 24m = -3 + 75 Combine like terms: -3 + 75 = 72 24m = 72 Divide each side by '24'. m = 3 Simplifying m = 3
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