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Simplifying 10m + -21 = 3(9 + 6m) Reorder the terms: -21 + 10m = 3(9 + 6m) -21 + 10m = (9 * 3 + 6m * 3) -21 + 10m = (27 + 18m) Solving -21 + 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. -21 + 10m + -18m = 27 + 18m + -18m Combine like terms: 10m + -18m = -8m -21 + -8m = 27 + 18m + -18m Combine like terms: 18m + -18m = 0 -21 + -8m = 27 + 0 -21 + -8m = 27 Add '21' to each side of the equation. -21 + 21 + -8m = 27 + 21 Combine like terms: -21 + 21 = 0 0 + -8m = 27 + 21 -8m = 27 + 21 Combine like terms: 27 + 21 = 48 -8m = 48 Divide each side by '-8'. m = -6 Simplifying m = -6
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