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Simplifying 5(m + 8) + -4 = -3(15 + 2m) Reorder the terms: 5(8 + m) + -4 = -3(15 + 2m) (8 * 5 + m * 5) + -4 = -3(15 + 2m) (40 + 5m) + -4 = -3(15 + 2m) Reorder the terms: 40 + -4 + 5m = -3(15 + 2m) Combine like terms: 40 + -4 = 36 36 + 5m = -3(15 + 2m) 36 + 5m = (15 * -3 + 2m * -3) 36 + 5m = (-45 + -6m) Solving 36 + 5m = -45 + -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. 36 + 5m + 6m = -45 + -6m + 6m Combine like terms: 5m + 6m = 11m 36 + 11m = -45 + -6m + 6m Combine like terms: -6m + 6m = 0 36 + 11m = -45 + 0 36 + 11m = -45 Add '-36' to each side of the equation. 36 + -36 + 11m = -45 + -36 Combine like terms: 36 + -36 = 0 0 + 11m = -45 + -36 11m = -45 + -36 Combine like terms: -45 + -36 = -81 11m = -81 Divide each side by '11'. m = -7.363636364 Simplifying m = -7.363636364
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