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Simplifying 24 + 82 = m + -19 + 47 Combine like terms: 24 + 82 = 106 106 = m + -19 + 47 Reorder the terms: 106 = -19 + 47 + m Combine like terms: -19 + 47 = 28 106 = 28 + m Solving 106 = 28 + 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. 106 + -1m = 28 + m + -1m Combine like terms: m + -1m = 0 106 + -1m = 28 + 0 106 + -1m = 28 Add '-106' to each side of the equation. 106 + -106 + -1m = 28 + -106 Combine like terms: 106 + -106 = 0 0 + -1m = 28 + -106 -1m = 28 + -106 Combine like terms: 28 + -106 = -78 -1m = -78 Divide each side by '-1'. m = 78 Simplifying m = 78
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