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Simplifying 13 + -8m + -19 = 8m + 36 + -5m Reorder the terms: 13 + -19 + -8m = 8m + 36 + -5m Combine like terms: 13 + -19 = -6 -6 + -8m = 8m + 36 + -5m Reorder the terms: -6 + -8m = 36 + 8m + -5m Combine like terms: 8m + -5m = 3m -6 + -8m = 36 + 3m Solving -6 + -8m = 36 + 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. -6 + -8m + -3m = 36 + 3m + -3m Combine like terms: -8m + -3m = -11m -6 + -11m = 36 + 3m + -3m Combine like terms: 3m + -3m = 0 -6 + -11m = 36 + 0 -6 + -11m = 36 Add '6' to each side of the equation. -6 + 6 + -11m = 36 + 6 Combine like terms: -6 + 6 = 0 0 + -11m = 36 + 6 -11m = 36 + 6 Combine like terms: 36 + 6 = 42 -11m = 42 Divide each side by '-11'. m = -3.818181818 Simplifying m = -3.818181818
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