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Simplifying 7m + 35 = 7m + 7(m + -2) Reorder the terms: 35 + 7m = 7m + 7(m + -2) Reorder the terms: 35 + 7m = 7m + 7(-2 + m) 35 + 7m = 7m + (-2 * 7 + m * 7) 35 + 7m = 7m + (-14 + 7m) Reorder the terms: 35 + 7m = -14 + 7m + 7m Combine like terms: 7m + 7m = 14m 35 + 7m = -14 + 14m Solving 35 + 7m = -14 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 35 + 7m + -14m = -14 + 14m + -14m Combine like terms: 7m + -14m = -7m 35 + -7m = -14 + 14m + -14m Combine like terms: 14m + -14m = 0 35 + -7m = -14 + 0 35 + -7m = -14 Add '-35' to each side of the equation. 35 + -35 + -7m = -14 + -35 Combine like terms: 35 + -35 = 0 0 + -7m = -14 + -35 -7m = -14 + -35 Combine like terms: -14 + -35 = -49 -7m = -49 Divide each side by '-7'. m = 7 Simplifying m = 7
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