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Simplifying M + -1(5 + -2m) + -1(4m + 11) = 5m + -13 M + (5 * -1 + -2m * -1) + -1(4m + 11) = 5m + -13 M + (-5 + 2m) + -1(4m + 11) = 5m + -13 Reorder the terms: M + -5 + 2m + -1(11 + 4m) = 5m + -13 M + -5 + 2m + (11 * -1 + 4m * -1) = 5m + -13 M + -5 + 2m + (-11 + -4m) = 5m + -13 Reorder the terms: -5 + -11 + M + 2m + -4m = 5m + -13 Combine like terms: -5 + -11 = -16 -16 + M + 2m + -4m = 5m + -13 Combine like terms: 2m + -4m = -2m -16 + M + -2m = 5m + -13 Reorder the terms: -16 + M + -2m = -13 + 5m Solving -16 + M + -2m = -13 + 5m Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '16' to each side of the equation. -16 + M + 16 + -2m = -13 + 16 + 5m Reorder the terms: -16 + 16 + M + -2m = -13 + 16 + 5m Combine like terms: -16 + 16 = 0 0 + M + -2m = -13 + 16 + 5m M + -2m = -13 + 16 + 5m Combine like terms: -13 + 16 = 3 M + -2m = 3 + 5m Add '2m' to each side of the equation. M + -2m + 2m = 3 + 5m + 2m Combine like terms: -2m + 2m = 0 M + 0 = 3 + 5m + 2m M = 3 + 5m + 2m Combine like terms: 5m + 2m = 7m M = 3 + 7m Simplifying M = 3 + 7m
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