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Simplifying 7m + 5 = 4(m + -1) + 15 Reorder the terms: 5 + 7m = 4(m + -1) + 15 Reorder the terms: 5 + 7m = 4(-1 + m) + 15 5 + 7m = (-1 * 4 + m * 4) + 15 5 + 7m = (-4 + 4m) + 15 Reorder the terms: 5 + 7m = -4 + 15 + 4m Combine like terms: -4 + 15 = 11 5 + 7m = 11 + 4m Solving 5 + 7m = 11 + 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. 5 + 7m + -4m = 11 + 4m + -4m Combine like terms: 7m + -4m = 3m 5 + 3m = 11 + 4m + -4m Combine like terms: 4m + -4m = 0 5 + 3m = 11 + 0 5 + 3m = 11 Add '-5' to each side of the equation. 5 + -5 + 3m = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = 11 + -5 3m = 11 + -5 Combine like terms: 11 + -5 = 6 3m = 6 Divide each side by '3'. m = 2 Simplifying m = 2
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