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Simplifying 19 + -1(2m + 5) = 5 + 4m + -15 Reorder the terms: 19 + -1(5 + 2m) = 5 + 4m + -15 19 + (5 * -1 + 2m * -1) = 5 + 4m + -15 19 + (-5 + -2m) = 5 + 4m + -15 Combine like terms: 19 + -5 = 14 14 + -2m = 5 + 4m + -15 Reorder the terms: 14 + -2m = 5 + -15 + 4m Combine like terms: 5 + -15 = -10 14 + -2m = -10 + 4m Solving 14 + -2m = -10 + 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. 14 + -2m + -4m = -10 + 4m + -4m Combine like terms: -2m + -4m = -6m 14 + -6m = -10 + 4m + -4m Combine like terms: 4m + -4m = 0 14 + -6m = -10 + 0 14 + -6m = -10 Add '-14' to each side of the equation. 14 + -14 + -6m = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -6m = -10 + -14 -6m = -10 + -14 Combine like terms: -10 + -14 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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