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