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Simplifying 16 + -1(4m + 7) = 4 + 2m + -19 Reorder the terms: 16 + -1(7 + 4m) = 4 + 2m + -19 16 + (7 * -1 + 4m * -1) = 4 + 2m + -19 16 + (-7 + -4m) = 4 + 2m + -19 Combine like terms: 16 + -7 = 9 9 + -4m = 4 + 2m + -19 Reorder the terms: 9 + -4m = 4 + -19 + 2m Combine like terms: 4 + -19 = -15 9 + -4m = -15 + 2m Solving 9 + -4m = -15 + 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. 9 + -4m + -2m = -15 + 2m + -2m Combine like terms: -4m + -2m = -6m 9 + -6m = -15 + 2m + -2m Combine like terms: 2m + -2m = 0 9 + -6m = -15 + 0 9 + -6m = -15 Add '-9' to each side of the equation. 9 + -9 + -6m = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -6m = -15 + -9 -6m = -15 + -9 Combine like terms: -15 + -9 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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