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Simplifying [-6 + (-13)] + 8 = -6 + (m + 8) [-6 + -13] + 8 = -6 + (m + 8) Combine like terms: -6 + -13 = -19 [-19] + 8 = -6 + (m + 8) -19 + 8 = -6 + (m + 8) Combine like terms: -19 + 8 = -11 -11 = -6 + (m + 8) Reorder the terms: -11 = -6 + (8 + m) Remove parenthesis around (8 + m) -11 = -6 + 8 + m Combine like terms: -6 + 8 = 2 -11 = 2 + m Solving -11 = 2 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -11 + -1m = 2 + m + -1m Combine like terms: m + -1m = 0 -11 + -1m = 2 + 0 -11 + -1m = 2 Add '11' to each side of the equation. -11 + 11 + -1m = 2 + 11 Combine like terms: -11 + 11 = 0 0 + -1m = 2 + 11 -1m = 2 + 11 Combine like terms: 2 + 11 = 13 -1m = 13 Divide each side by '-1'. m = -13 Simplifying m = -13
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