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Simplifying 32 + 6m = -4 + 6(-3 + -8m) 32 + 6m = -4 + (-3 * 6 + -8m * 6) 32 + 6m = -4 + (-18 + -48m) Combine like terms: -4 + -18 = -22 32 + 6m = -22 + -48m Solving 32 + 6m = -22 + -48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48m' to each side of the equation. 32 + 6m + 48m = -22 + -48m + 48m Combine like terms: 6m + 48m = 54m 32 + 54m = -22 + -48m + 48m Combine like terms: -48m + 48m = 0 32 + 54m = -22 + 0 32 + 54m = -22 Add '-32' to each side of the equation. 32 + -32 + 54m = -22 + -32 Combine like terms: 32 + -32 = 0 0 + 54m = -22 + -32 54m = -22 + -32 Combine like terms: -22 + -32 = -54 54m = -54 Divide each side by '54'. m = -1 Simplifying m = -1
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