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Simplifying 6m + 3 = 8m + -21 Reorder the terms: 3 + 6m = 8m + -21 Reorder the terms: 3 + 6m = -21 + 8m Solving 3 + 6m = -21 + 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. 3 + 6m + -8m = -21 + 8m + -8m Combine like terms: 6m + -8m = -2m 3 + -2m = -21 + 8m + -8m Combine like terms: 8m + -8m = 0 3 + -2m = -21 + 0 3 + -2m = -21 Add '-3' to each side of the equation. 3 + -3 + -2m = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = -21 + -3 -2m = -21 + -3 Combine like terms: -21 + -3 = -24 -2m = -24 Divide each side by '-2'. m = 12 Simplifying m = 12
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