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Simplifying 9m + -5 + -10m = 7 + m + -14 Reorder the terms: -5 + 9m + -10m = 7 + m + -14 Combine like terms: 9m + -10m = -1m -5 + -1m = 7 + m + -14 Reorder the terms: -5 + -1m = 7 + -14 + m Combine like terms: 7 + -14 = -7 -5 + -1m = -7 + m Solving -5 + -1m = -7 + 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. -5 + -1m + -1m = -7 + m + -1m Combine like terms: -1m + -1m = -2m -5 + -2m = -7 + m + -1m Combine like terms: m + -1m = 0 -5 + -2m = -7 + 0 -5 + -2m = -7 Add '5' to each side of the equation. -5 + 5 + -2m = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = -7 + 5 -2m = -7 + 5 Combine like terms: -7 + 5 = -2 -2m = -2 Divide each side by '-2'. m = 1 Simplifying m = 1
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