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Simplifying 4m + 7 = 7(m + -2) Reorder the terms: 7 + 4m = 7(m + -2) Reorder the terms: 7 + 4m = 7(-2 + m) 7 + 4m = (-2 * 7 + m * 7) 7 + 4m = (-14 + 7m) Solving 7 + 4m = -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. 7 + 4m + -7m = -14 + 7m + -7m Combine like terms: 4m + -7m = -3m 7 + -3m = -14 + 7m + -7m Combine like terms: 7m + -7m = 0 7 + -3m = -14 + 0 7 + -3m = -14 Add '-7' to each side of the equation. 7 + -7 + -3m = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = -14 + -7 -3m = -14 + -7 Combine like terms: -14 + -7 = -21 -3m = -21 Divide each side by '-3'. m = 7 Simplifying m = 7
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