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Simplifying -7(m + -2) + 3 = 2 + -1(m + 3) Reorder the terms: -7(-2 + m) + 3 = 2 + -1(m + 3) (-2 * -7 + m * -7) + 3 = 2 + -1(m + 3) (14 + -7m) + 3 = 2 + -1(m + 3) Reorder the terms: 14 + 3 + -7m = 2 + -1(m + 3) Combine like terms: 14 + 3 = 17 17 + -7m = 2 + -1(m + 3) Reorder the terms: 17 + -7m = 2 + -1(3 + m) 17 + -7m = 2 + (3 * -1 + m * -1) 17 + -7m = 2 + (-3 + -1m) Combine like terms: 2 + -3 = -1 17 + -7m = -1 + -1m Solving 17 + -7m = -1 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 17 + -7m + m = -1 + -1m + m Combine like terms: -7m + m = -6m 17 + -6m = -1 + -1m + m Combine like terms: -1m + m = 0 17 + -6m = -1 + 0 17 + -6m = -1 Add '-17' to each side of the equation. 17 + -17 + -6m = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -6m = -1 + -17 -6m = -1 + -17 Combine like terms: -1 + -17 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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