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Simplifying 8(4m + 3) = -36 + 2m Reorder the terms: 8(3 + 4m) = -36 + 2m (3 * 8 + 4m * 8) = -36 + 2m (24 + 32m) = -36 + 2m Solving 24 + 32m = -36 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 24 + 32m + -2m = -36 + 2m + -2m Combine like terms: 32m + -2m = 30m 24 + 30m = -36 + 2m + -2m Combine like terms: 2m + -2m = 0 24 + 30m = -36 + 0 24 + 30m = -36 Add '-24' to each side of the equation. 24 + -24 + 30m = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 30m = -36 + -24 30m = -36 + -24 Combine like terms: -36 + -24 = -60 30m = -60 Divide each side by '30'. m = -2 Simplifying m = -2
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