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Simplifying 8(m + -3) + 10 = 4m + 15 Reorder the terms: 8(-3 + m) + 10 = 4m + 15 (-3 * 8 + m * 8) + 10 = 4m + 15 (-24 + 8m) + 10 = 4m + 15 Reorder the terms: -24 + 10 + 8m = 4m + 15 Combine like terms: -24 + 10 = -14 -14 + 8m = 4m + 15 Reorder the terms: -14 + 8m = 15 + 4m Solving -14 + 8m = 15 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -14 + 8m + -4m = 15 + 4m + -4m Combine like terms: 8m + -4m = 4m -14 + 4m = 15 + 4m + -4m Combine like terms: 4m + -4m = 0 -14 + 4m = 15 + 0 -14 + 4m = 15 Add '14' to each side of the equation. -14 + 14 + 4m = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 4m = 15 + 14 4m = 15 + 14 Combine like terms: 15 + 14 = 29 4m = 29 Divide each side by '4'. m = 7.25 Simplifying m = 7.25
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