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Simplifying 5(2m + 6) = 2m + 3 Reorder the terms: 5(6 + 2m) = 2m + 3 (6 * 5 + 2m * 5) = 2m + 3 (30 + 10m) = 2m + 3 Reorder the terms: 30 + 10m = 3 + 2m Solving 30 + 10m = 3 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 30 + 10m + -2m = 3 + 2m + -2m Combine like terms: 10m + -2m = 8m 30 + 8m = 3 + 2m + -2m Combine like terms: 2m + -2m = 0 30 + 8m = 3 + 0 30 + 8m = 3 Add '-30' to each side of the equation. 30 + -30 + 8m = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 8m = 3 + -30 8m = 3 + -30 Combine like terms: 3 + -30 = -27 8m = -27 Divide each side by '8'. m = -3.375 Simplifying m = -3.375
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