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Simplifying 46 + -6 = m + 9 Combine like terms: 46 + -6 = 40 40 = m + 9 Reorder the terms: 40 = 9 + m Solving 40 = 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. 40 + -1m = 9 + m + -1m Combine like terms: m + -1m = 0 40 + -1m = 9 + 0 40 + -1m = 9 Add '-40' to each side of the equation. 40 + -40 + -1m = 9 + -40 Combine like terms: 40 + -40 = 0 0 + -1m = 9 + -40 -1m = 9 + -40 Combine like terms: 9 + -40 = -31 -1m = -31 Divide each side by '-1'. m = 31 Simplifying m = 31
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