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Simplifying 16 + -1(4m + 5) = 4 + 4m + -17 Reorder the terms: 16 + -1(5 + 4m) = 4 + 4m + -17 16 + (5 * -1 + 4m * -1) = 4 + 4m + -17 16 + (-5 + -4m) = 4 + 4m + -17 Combine like terms: 16 + -5 = 11 11 + -4m = 4 + 4m + -17 Reorder the terms: 11 + -4m = 4 + -17 + 4m Combine like terms: 4 + -17 = -13 11 + -4m = -13 + 4m Solving 11 + -4m = -13 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 11 + -4m + -4m = -13 + 4m + -4m Combine like terms: -4m + -4m = -8m 11 + -8m = -13 + 4m + -4m Combine like terms: 4m + -4m = 0 11 + -8m = -13 + 0 11 + -8m = -13 Add '-11' to each side of the equation. 11 + -11 + -8m = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -8m = -13 + -11 -8m = -13 + -11 Combine like terms: -13 + -11 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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