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Simplifying 4(3m + -5) + 7 = 8m + 3 Reorder the terms: 4(-5 + 3m) + 7 = 8m + 3 (-5 * 4 + 3m * 4) + 7 = 8m + 3 (-20 + 12m) + 7 = 8m + 3 Reorder the terms: -20 + 7 + 12m = 8m + 3 Combine like terms: -20 + 7 = -13 -13 + 12m = 8m + 3 Reorder the terms: -13 + 12m = 3 + 8m Solving -13 + 12m = 3 + 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. -13 + 12m + -8m = 3 + 8m + -8m Combine like terms: 12m + -8m = 4m -13 + 4m = 3 + 8m + -8m Combine like terms: 8m + -8m = 0 -13 + 4m = 3 + 0 -13 + 4m = 3 Add '13' to each side of the equation. -13 + 13 + 4m = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 4m = 3 + 13 4m = 3 + 13 Combine like terms: 3 + 13 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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