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Simplifying 19 + -1(2m + 7) = 2 + 4m + -14 Reorder the terms: 19 + -1(7 + 2m) = 2 + 4m + -14 19 + (7 * -1 + 2m * -1) = 2 + 4m + -14 19 + (-7 + -2m) = 2 + 4m + -14 Combine like terms: 19 + -7 = 12 12 + -2m = 2 + 4m + -14 Reorder the terms: 12 + -2m = 2 + -14 + 4m Combine like terms: 2 + -14 = -12 12 + -2m = -12 + 4m Solving 12 + -2m = -12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 12 + -2m + -4m = -12 + 4m + -4m Combine like terms: -2m + -4m = -6m 12 + -6m = -12 + 4m + -4m Combine like terms: 4m + -4m = 0 12 + -6m = -12 + 0 12 + -6m = -12 Add '-12' to each side of the equation. 12 + -12 + -6m = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6m = -12 + -12 -6m = -12 + -12 Combine like terms: -12 + -12 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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