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Simplifying 19 + -1(5m + 7) = 4 + 2m + -13 Reorder the terms: 19 + -1(7 + 5m) = 4 + 2m + -13 19 + (7 * -1 + 5m * -1) = 4 + 2m + -13 19 + (-7 + -5m) = 4 + 2m + -13 Combine like terms: 19 + -7 = 12 12 + -5m = 4 + 2m + -13 Reorder the terms: 12 + -5m = 4 + -13 + 2m Combine like terms: 4 + -13 = -9 12 + -5m = -9 + 2m Solving 12 + -5m = -9 + 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. 12 + -5m + -2m = -9 + 2m + -2m Combine like terms: -5m + -2m = -7m 12 + -7m = -9 + 2m + -2m Combine like terms: 2m + -2m = 0 12 + -7m = -9 + 0 12 + -7m = -9 Add '-12' to each side of the equation. 12 + -12 + -7m = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7m = -9 + -12 -7m = -9 + -12 Combine like terms: -9 + -12 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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