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Simplifying 4(m + 8) + -4(3m + -2) = -9(m + -7) + -4 Reorder the terms: 4(8 + m) + -4(3m + -2) = -9(m + -7) + -4 (8 * 4 + m * 4) + -4(3m + -2) = -9(m + -7) + -4 (32 + 4m) + -4(3m + -2) = -9(m + -7) + -4 Reorder the terms: 32 + 4m + -4(-2 + 3m) = -9(m + -7) + -4 32 + 4m + (-2 * -4 + 3m * -4) = -9(m + -7) + -4 32 + 4m + (8 + -12m) = -9(m + -7) + -4 Reorder the terms: 32 + 8 + 4m + -12m = -9(m + -7) + -4 Combine like terms: 32 + 8 = 40 40 + 4m + -12m = -9(m + -7) + -4 Combine like terms: 4m + -12m = -8m 40 + -8m = -9(m + -7) + -4 Reorder the terms: 40 + -8m = -9(-7 + m) + -4 40 + -8m = (-7 * -9 + m * -9) + -4 40 + -8m = (63 + -9m) + -4 Reorder the terms: 40 + -8m = 63 + -4 + -9m Combine like terms: 63 + -4 = 59 40 + -8m = 59 + -9m Solving 40 + -8m = 59 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 40 + -8m + 9m = 59 + -9m + 9m Combine like terms: -8m + 9m = 1m 40 + 1m = 59 + -9m + 9m Combine like terms: -9m + 9m = 0 40 + 1m = 59 + 0 40 + 1m = 59 Add '-40' to each side of the equation. 40 + -40 + 1m = 59 + -40 Combine like terms: 40 + -40 = 0 0 + 1m = 59 + -40 1m = 59 + -40 Combine like terms: 59 + -40 = 19 1m = 19 Divide each side by '1'. m = 19 Simplifying m = 19
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