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Simplifying 10m + -18 + -3 = 7 + 8m Reorder the terms: -18 + -3 + 10m = 7 + 8m Combine like terms: -18 + -3 = -21 -21 + 10m = 7 + 8m Solving -21 + 10m = 7 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -21 + 10m + -8m = 7 + 8m + -8m Combine like terms: 10m + -8m = 2m -21 + 2m = 7 + 8m + -8m Combine like terms: 8m + -8m = 0 -21 + 2m = 7 + 0 -21 + 2m = 7 Add '21' to each side of the equation. -21 + 21 + 2m = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 2m = 7 + 21 2m = 7 + 21 Combine like terms: 7 + 21 = 28 2m = 28 Divide each side by '2'. m = 14 Simplifying m = 14
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