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Simplifying 7m + -4 = 5(3m + 1) Reorder the terms: -4 + 7m = 5(3m + 1) Reorder the terms: -4 + 7m = 5(1 + 3m) -4 + 7m = (1 * 5 + 3m * 5) -4 + 7m = (5 + 15m) Solving -4 + 7m = 5 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -4 + 7m + -15m = 5 + 15m + -15m Combine like terms: 7m + -15m = -8m -4 + -8m = 5 + 15m + -15m Combine like terms: 15m + -15m = 0 -4 + -8m = 5 + 0 -4 + -8m = 5 Add '4' to each side of the equation. -4 + 4 + -8m = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -8m = 5 + 4 -8m = 5 + 4 Combine like terms: 5 + 4 = 9 -8m = 9 Divide each side by '-8'. m = -1.125 Simplifying m = -1.125
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