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Simplifying 19 + -2(2m + 4) = 5 + 4m + -14 Reorder the terms: 19 + -2(4 + 2m) = 5 + 4m + -14 19 + (4 * -2 + 2m * -2) = 5 + 4m + -14 19 + (-8 + -4m) = 5 + 4m + -14 Combine like terms: 19 + -8 = 11 11 + -4m = 5 + 4m + -14 Reorder the terms: 11 + -4m = 5 + -14 + 4m Combine like terms: 5 + -14 = -9 11 + -4m = -9 + 4m Solving 11 + -4m = -9 + 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. 11 + -4m + -4m = -9 + 4m + -4m Combine like terms: -4m + -4m = -8m 11 + -8m = -9 + 4m + -4m Combine like terms: 4m + -4m = 0 11 + -8m = -9 + 0 11 + -8m = -9 Add '-11' to each side of the equation. 11 + -11 + -8m = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -8m = -9 + -11 -8m = -9 + -11 Combine like terms: -9 + -11 = -20 -8m = -20 Divide each side by '-8'. m = 2.5 Simplifying m = 2.5
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