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Simplifying 4(m + -7) + 8 = 8m + -24 Reorder the terms: 4(-7 + m) + 8 = 8m + -24 (-7 * 4 + m * 4) + 8 = 8m + -24 (-28 + 4m) + 8 = 8m + -24 Reorder the terms: -28 + 8 + 4m = 8m + -24 Combine like terms: -28 + 8 = -20 -20 + 4m = 8m + -24 Reorder the terms: -20 + 4m = -24 + 8m Solving -20 + 4m = -24 + 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. -20 + 4m + -8m = -24 + 8m + -8m Combine like terms: 4m + -8m = -4m -20 + -4m = -24 + 8m + -8m Combine like terms: 8m + -8m = 0 -20 + -4m = -24 + 0 -20 + -4m = -24 Add '20' to each side of the equation. -20 + 20 + -4m = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -4m = -24 + 20 -4m = -24 + 20 Combine like terms: -24 + 20 = -4 -4m = -4 Divide each side by '-4'. m = 1 Simplifying m = 1
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