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Simplifying 5m + 4 = 7(m + 1) Reorder the terms: 4 + 5m = 7(m + 1) Reorder the terms: 4 + 5m = 7(1 + m) 4 + 5m = (1 * 7 + m * 7) 4 + 5m = (7 + 7m) Solving 4 + 5m = 7 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 4 + 5m + -7m = 7 + 7m + -7m Combine like terms: 5m + -7m = -2m 4 + -2m = 7 + 7m + -7m Combine like terms: 7m + -7m = 0 4 + -2m = 7 + 0 4 + -2m = 7 Add '-4' to each side of the equation. 4 + -4 + -2m = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -2m = 7 + -4 -2m = 7 + -4 Combine like terms: 7 + -4 = 3 -2m = 3 Divide each side by '-2'. m = -1.5 Simplifying m = -1.5
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