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Simplifying 16 + -1(2m + 7) = 5 + 2m + -12 Reorder the terms: 16 + -1(7 + 2m) = 5 + 2m + -12 16 + (7 * -1 + 2m * -1) = 5 + 2m + -12 16 + (-7 + -2m) = 5 + 2m + -12 Combine like terms: 16 + -7 = 9 9 + -2m = 5 + 2m + -12 Reorder the terms: 9 + -2m = 5 + -12 + 2m Combine like terms: 5 + -12 = -7 9 + -2m = -7 + 2m Solving 9 + -2m = -7 + 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 + -2m + -2m = -7 + 2m + -2m Combine like terms: -2m + -2m = -4m 9 + -4m = -7 + 2m + -2m Combine like terms: 2m + -2m = 0 9 + -4m = -7 + 0 9 + -4m = -7 Add '-9' to each side of the equation. 9 + -9 + -4m = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4m = -7 + -9 -4m = -7 + -9 Combine like terms: -7 + -9 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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