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Simplifying 5 + -1(-2 + 2m) + 3 = 5 + 6m + -27 5 + (-2 * -1 + 2m * -1) + 3 = 5 + 6m + -27 5 + (2 + -2m) + 3 = 5 + 6m + -27 Reorder the terms: 5 + 2 + 3 + -2m = 5 + 6m + -27 Combine like terms: 5 + 2 = 7 7 + 3 + -2m = 5 + 6m + -27 Combine like terms: 7 + 3 = 10 10 + -2m = 5 + 6m + -27 Reorder the terms: 10 + -2m = 5 + -27 + 6m Combine like terms: 5 + -27 = -22 10 + -2m = -22 + 6m Solving 10 + -2m = -22 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 10 + -2m + -6m = -22 + 6m + -6m Combine like terms: -2m + -6m = -8m 10 + -8m = -22 + 6m + -6m Combine like terms: 6m + -6m = 0 10 + -8m = -22 + 0 10 + -8m = -22 Add '-10' to each side of the equation. 10 + -10 + -8m = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -8m = -22 + -10 -8m = -22 + -10 Combine like terms: -22 + -10 = -32 -8m = -32 Divide each side by '-8'. m = 4 Simplifying m = 4
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