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Simplifying 7m + 2(m + -12) = 2(m + -13) + 3(2m + 1) Reorder the terms: 7m + 2(-12 + m) = 2(m + -13) + 3(2m + 1) 7m + (-12 * 2 + m * 2) = 2(m + -13) + 3(2m + 1) 7m + (-24 + 2m) = 2(m + -13) + 3(2m + 1) Reorder the terms: -24 + 7m + 2m = 2(m + -13) + 3(2m + 1) Combine like terms: 7m + 2m = 9m -24 + 9m = 2(m + -13) + 3(2m + 1) Reorder the terms: -24 + 9m = 2(-13 + m) + 3(2m + 1) -24 + 9m = (-13 * 2 + m * 2) + 3(2m + 1) -24 + 9m = (-26 + 2m) + 3(2m + 1) Reorder the terms: -24 + 9m = -26 + 2m + 3(1 + 2m) -24 + 9m = -26 + 2m + (1 * 3 + 2m * 3) -24 + 9m = -26 + 2m + (3 + 6m) Reorder the terms: -24 + 9m = -26 + 3 + 2m + 6m Combine like terms: -26 + 3 = -23 -24 + 9m = -23 + 2m + 6m Combine like terms: 2m + 6m = 8m -24 + 9m = -23 + 8m Solving -24 + 9m = -23 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -24 + 9m + -8m = -23 + 8m + -8m Combine like terms: 9m + -8m = 1m -24 + 1m = -23 + 8m + -8m Combine like terms: 8m + -8m = 0 -24 + 1m = -23 + 0 -24 + 1m = -23 Add '24' to each side of the equation. -24 + 24 + 1m = -23 + 24 Combine like terms: -24 + 24 = 0 0 + 1m = -23 + 24 1m = -23 + 24 Combine like terms: -23 + 24 = 1 1m = 1 Divide each side by '1'. m = 1 Simplifying m = 1
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