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Simplifying 19 + -1(2m + 3) = 3 + 4m + -11 Reorder the terms: 19 + -1(3 + 2m) = 3 + 4m + -11 19 + (3 * -1 + 2m * -1) = 3 + 4m + -11 19 + (-3 + -2m) = 3 + 4m + -11 Combine like terms: 19 + -3 = 16 16 + -2m = 3 + 4m + -11 Reorder the terms: 16 + -2m = 3 + -11 + 4m Combine like terms: 3 + -11 = -8 16 + -2m = -8 + 4m Solving 16 + -2m = -8 + 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. 16 + -2m + -4m = -8 + 4m + -4m Combine like terms: -2m + -4m = -6m 16 + -6m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 16 + -6m = -8 + 0 16 + -6m = -8 Add '-16' to each side of the equation. 16 + -16 + -6m = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -6m = -8 + -16 -6m = -8 + -16 Combine like terms: -8 + -16 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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