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Simplifying (-1(3M + -5) + -4(12 + -1m + -8)) = m + -11 Reorder the terms: (-1(-5 + 3M) + -4(12 + -1m + -8)) = m + -11 ((-5 * -1 + 3M * -1) + -4(12 + -1m + -8)) = m + -11 ((5 + -3M) + -4(12 + -1m + -8)) = m + -11 Reorder the terms: (5 + -3M + -4(12 + -8 + -1m)) = m + -11 Combine like terms: 12 + -8 = 4 (5 + -3M + -4(4 + -1m)) = m + -11 (5 + -3M + (4 * -4 + -1m * -4)) = m + -11 (5 + -3M + (-16 + 4m)) = m + -11 Reorder the terms: (5 + -16 + -3M + 4m) = m + -11 Combine like terms: 5 + -16 = -11 (-11 + -3M + 4m) = m + -11 Remove parenthesis around (-11 + -3M + 4m) -11 + -3M + 4m = m + -11 Reorder the terms: -11 + -3M + 4m = -11 + m Add '11' to each side of the equation. -11 + -3M + 11 + 4m = -11 + 11 + m Reorder the terms: -11 + 11 + -3M + 4m = -11 + 11 + m Combine like terms: -11 + 11 = 0 0 + -3M + 4m = -11 + 11 + m -3M + 4m = -11 + 11 + m Combine like terms: -11 + 11 = 0 -3M + 4m = 0 + m -3M + 4m = m Solving -3M + 4m = m 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. -3M + 4m + -4m = m + -4m Combine like terms: 4m + -4m = 0 -3M + 0 = m + -4m -3M = m + -4m Combine like terms: m + -4m = -3m -3M = -3m Divide each side by '-3'. M = m Simplifying M = m
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