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Simplifying -9m + 19 + -8(m + -5) = 4m + -1(5m + -2) + -7m + 3 Reorder the terms: -9m + 19 + -8(-5 + m) = 4m + -1(5m + -2) + -7m + 3 -9m + 19 + (-5 * -8 + m * -8) = 4m + -1(5m + -2) + -7m + 3 -9m + 19 + (40 + -8m) = 4m + -1(5m + -2) + -7m + 3 Reorder the terms: 19 + 40 + -9m + -8m = 4m + -1(5m + -2) + -7m + 3 Combine like terms: 19 + 40 = 59 59 + -9m + -8m = 4m + -1(5m + -2) + -7m + 3 Combine like terms: -9m + -8m = -17m 59 + -17m = 4m + -1(5m + -2) + -7m + 3 Reorder the terms: 59 + -17m = 4m + -1(-2 + 5m) + -7m + 3 59 + -17m = 4m + (-2 * -1 + 5m * -1) + -7m + 3 59 + -17m = 4m + (2 + -5m) + -7m + 3 Reorder the terms: 59 + -17m = 2 + 3 + 4m + -5m + -7m Combine like terms: 2 + 3 = 5 59 + -17m = 5 + 4m + -5m + -7m Combine like terms: 4m + -5m = -1m 59 + -17m = 5 + -1m + -7m Combine like terms: -1m + -7m = -8m 59 + -17m = 5 + -8m Solving 59 + -17m = 5 + -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. 59 + -17m + 8m = 5 + -8m + 8m Combine like terms: -17m + 8m = -9m 59 + -9m = 5 + -8m + 8m Combine like terms: -8m + 8m = 0 59 + -9m = 5 + 0 59 + -9m = 5 Add '-59' to each side of the equation. 59 + -59 + -9m = 5 + -59 Combine like terms: 59 + -59 = 0 0 + -9m = 5 + -59 -9m = 5 + -59 Combine like terms: 5 + -59 = -54 -9m = -54 Divide each side by '-9'. m = 6 Simplifying m = 6
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