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Simplifying 42 + -6 = m + -9 Combine like terms: 42 + -6 = 36 36 = m + -9 Reorder the terms: 36 = -9 + m Solving 36 = -9 + 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. 36 + -1m = -9 + m + -1m Combine like terms: m + -1m = 0 36 + -1m = -9 + 0 36 + -1m = -9 Add '-36' to each side of the equation. 36 + -36 + -1m = -9 + -36 Combine like terms: 36 + -36 = 0 0 + -1m = -9 + -36 -1m = -9 + -36 Combine like terms: -9 + -36 = -45 -1m = -45 Divide each side by '-1'. m = 45 Simplifying m = 45
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