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Simplifying 4(m + 4) + -2m = 8m + 48 Reorder the terms: 4(4 + m) + -2m = 8m + 48 (4 * 4 + m * 4) + -2m = 8m + 48 (16 + 4m) + -2m = 8m + 48 Combine like terms: 4m + -2m = 2m 16 + 2m = 8m + 48 Reorder the terms: 16 + 2m = 48 + 8m Solving 16 + 2m = 48 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 16 + 2m + -8m = 48 + 8m + -8m Combine like terms: 2m + -8m = -6m 16 + -6m = 48 + 8m + -8m Combine like terms: 8m + -8m = 0 16 + -6m = 48 + 0 16 + -6m = 48 Add '-16' to each side of the equation. 16 + -16 + -6m = 48 + -16 Combine like terms: 16 + -16 = 0 0 + -6m = 48 + -16 -6m = 48 + -16 Combine like terms: 48 + -16 = 32 -6m = 32 Divide each side by '-6'. m = -5.333333333 Simplifying m = -5.333333333
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