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Simplifying 2 + 5m = 7(m + -2) Reorder the terms: 2 + 5m = 7(-2 + m) 2 + 5m = (-2 * 7 + m * 7) 2 + 5m = (-14 + 7m) Solving 2 + 5m = -14 + 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. 2 + 5m + -7m = -14 + 7m + -7m Combine like terms: 5m + -7m = -2m 2 + -2m = -14 + 7m + -7m Combine like terms: 7m + -7m = 0 2 + -2m = -14 + 0 2 + -2m = -14 Add '-2' to each side of the equation. 2 + -2 + -2m = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -2m = -14 + -2 -2m = -14 + -2 Combine like terms: -14 + -2 = -16 -2m = -16 Divide each side by '-2'. m = 8 Simplifying m = 8
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