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Simplifying 24 + -8m = -8m + -6(m + -7) Reorder the terms: 24 + -8m = -8m + -6(-7 + m) 24 + -8m = -8m + (-7 * -6 + m * -6) 24 + -8m = -8m + (42 + -6m) Reorder the terms: 24 + -8m = 42 + -8m + -6m Combine like terms: -8m + -6m = -14m 24 + -8m = 42 + -14m Solving 24 + -8m = 42 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. 24 + -8m + 14m = 42 + -14m + 14m Combine like terms: -8m + 14m = 6m 24 + 6m = 42 + -14m + 14m Combine like terms: -14m + 14m = 0 24 + 6m = 42 + 0 24 + 6m = 42 Add '-24' to each side of the equation. 24 + -24 + 6m = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 6m = 42 + -24 6m = 42 + -24 Combine like terms: 42 + -24 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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