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Simplifying 32 = -2(24 + -1m) + 4(m + -4) 32 = (24 * -2 + -1m * -2) + 4(m + -4) 32 = (-48 + 2m) + 4(m + -4) Reorder the terms: 32 = -48 + 2m + 4(-4 + m) 32 = -48 + 2m + (-4 * 4 + m * 4) 32 = -48 + 2m + (-16 + 4m) Reorder the terms: 32 = -48 + -16 + 2m + 4m Combine like terms: -48 + -16 = -64 32 = -64 + 2m + 4m Combine like terms: 2m + 4m = 6m 32 = -64 + 6m Solving 32 = -64 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 32 + -6m = -64 + 6m + -6m Combine like terms: 6m + -6m = 0 32 + -6m = -64 + 0 32 + -6m = -64 Add '-32' to each side of the equation. 32 + -32 + -6m = -64 + -32 Combine like terms: 32 + -32 = 0 0 + -6m = -64 + -32 -6m = -64 + -32 Combine like terms: -64 + -32 = -96 -6m = -96 Divide each side by '-6'. m = 16 Simplifying m = 16
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