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Simplifying -8m + 25 + -7(m + -4) = 3 + -1(2m + -6) + -9m + 5 Reorder the terms: -8m + 25 + -7(-4 + m) = 3 + -1(2m + -6) + -9m + 5 -8m + 25 + (-4 * -7 + m * -7) = 3 + -1(2m + -6) + -9m + 5 -8m + 25 + (28 + -7m) = 3 + -1(2m + -6) + -9m + 5 Reorder the terms: 25 + 28 + -8m + -7m = 3 + -1(2m + -6) + -9m + 5 Combine like terms: 25 + 28 = 53 53 + -8m + -7m = 3 + -1(2m + -6) + -9m + 5 Combine like terms: -8m + -7m = -15m 53 + -15m = 3 + -1(2m + -6) + -9m + 5 Reorder the terms: 53 + -15m = 3 + -1(-6 + 2m) + -9m + 5 53 + -15m = 3 + (-6 * -1 + 2m * -1) + -9m + 5 53 + -15m = 3 + (6 + -2m) + -9m + 5 Reorder the terms: 53 + -15m = 3 + 6 + 5 + -2m + -9m Combine like terms: 3 + 6 = 9 53 + -15m = 9 + 5 + -2m + -9m Combine like terms: 9 + 5 = 14 53 + -15m = 14 + -2m + -9m Combine like terms: -2m + -9m = -11m 53 + -15m = 14 + -11m Solving 53 + -15m = 14 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. 53 + -15m + 11m = 14 + -11m + 11m Combine like terms: -15m + 11m = -4m 53 + -4m = 14 + -11m + 11m Combine like terms: -11m + 11m = 0 53 + -4m = 14 + 0 53 + -4m = 14 Add '-53' to each side of the equation. 53 + -53 + -4m = 14 + -53 Combine like terms: 53 + -53 = 0 0 + -4m = 14 + -53 -4m = 14 + -53 Combine like terms: 14 + -53 = -39 -4m = -39 Divide each side by '-4'. m = 9.75 Simplifying m = 9.75
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