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Simplifying 7[m + 9] = -2[m + -5] + 2 Reorder the terms: 7[9 + m] = -2[m + -5] + 2 [9 * 7 + m * 7] = -2[m + -5] + 2 [63 + 7m] = -2[m + -5] + 2 Reorder the terms: 63 + 7m = -2[-5 + m] + 2 63 + 7m = [-5 * -2 + m * -2] + 2 63 + 7m = [10 + -2m] + 2 Reorder the terms: 63 + 7m = 10 + 2 + -2m Combine like terms: 10 + 2 = 12 63 + 7m = 12 + -2m Solving 63 + 7m = 12 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 63 + 7m + 2m = 12 + -2m + 2m Combine like terms: 7m + 2m = 9m 63 + 9m = 12 + -2m + 2m Combine like terms: -2m + 2m = 0 63 + 9m = 12 + 0 63 + 9m = 12 Add '-63' to each side of the equation. 63 + -63 + 9m = 12 + -63 Combine like terms: 63 + -63 = 0 0 + 9m = 12 + -63 9m = 12 + -63 Combine like terms: 12 + -63 = -51 9m = -51 Divide each side by '9'. m = -5.666666667 Simplifying m = -5.666666667
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