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Simplifying 10m + -20 = 3(9 + 6m) Reorder the terms: -20 + 10m = 3(9 + 6m) -20 + 10m = (9 * 3 + 6m * 3) -20 + 10m = (27 + 18m) Solving -20 + 10m = 27 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. -20 + 10m + -18m = 27 + 18m + -18m Combine like terms: 10m + -18m = -8m -20 + -8m = 27 + 18m + -18m Combine like terms: 18m + -18m = 0 -20 + -8m = 27 + 0 -20 + -8m = 27 Add '20' to each side of the equation. -20 + 20 + -8m = 27 + 20 Combine like terms: -20 + 20 = 0 0 + -8m = 27 + 20 -8m = 27 + 20 Combine like terms: 27 + 20 = 47 -8m = 47 Divide each side by '-8'. m = -5.875 Simplifying m = -5.875
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