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Simplifying 16 + -1(4m + 3) = 2 + 3m + -17 Reorder the terms: 16 + -1(3 + 4m) = 2 + 3m + -17 16 + (3 * -1 + 4m * -1) = 2 + 3m + -17 16 + (-3 + -4m) = 2 + 3m + -17 Combine like terms: 16 + -3 = 13 13 + -4m = 2 + 3m + -17 Reorder the terms: 13 + -4m = 2 + -17 + 3m Combine like terms: 2 + -17 = -15 13 + -4m = -15 + 3m Solving 13 + -4m = -15 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 13 + -4m + -3m = -15 + 3m + -3m Combine like terms: -4m + -3m = -7m 13 + -7m = -15 + 3m + -3m Combine like terms: 3m + -3m = 0 13 + -7m = -15 + 0 13 + -7m = -15 Add '-13' to each side of the equation. 13 + -13 + -7m = -15 + -13 Combine like terms: 13 + -13 = 0 0 + -7m = -15 + -13 -7m = -15 + -13 Combine like terms: -15 + -13 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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