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Simplifying 19 + -1(4m + 3) = 2 + 2m + -16 Reorder the terms: 19 + -1(3 + 4m) = 2 + 2m + -16 19 + (3 * -1 + 4m * -1) = 2 + 2m + -16 19 + (-3 + -4m) = 2 + 2m + -16 Combine like terms: 19 + -3 = 16 16 + -4m = 2 + 2m + -16 Reorder the terms: 16 + -4m = 2 + -16 + 2m Combine like terms: 2 + -16 = -14 16 + -4m = -14 + 2m Solving 16 + -4m = -14 + 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. 16 + -4m + -2m = -14 + 2m + -2m Combine like terms: -4m + -2m = -6m 16 + -6m = -14 + 2m + -2m Combine like terms: 2m + -2m = 0 16 + -6m = -14 + 0 16 + -6m = -14 Add '-16' to each side of the equation. 16 + -16 + -6m = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -6m = -14 + -16 -6m = -14 + -16 Combine like terms: -14 + -16 = -30 -6m = -30 Divide each side by '-6'. m = 5 Simplifying m = 5
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