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Simplifying 6 + 2(3m + -8) = 2m + 18 Reorder the terms: 6 + 2(-8 + 3m) = 2m + 18 6 + (-8 * 2 + 3m * 2) = 2m + 18 6 + (-16 + 6m) = 2m + 18 Combine like terms: 6 + -16 = -10 -10 + 6m = 2m + 18 Reorder the terms: -10 + 6m = 18 + 2m Solving -10 + 6m = 18 + 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. -10 + 6m + -2m = 18 + 2m + -2m Combine like terms: 6m + -2m = 4m -10 + 4m = 18 + 2m + -2m Combine like terms: 2m + -2m = 0 -10 + 4m = 18 + 0 -10 + 4m = 18 Add '10' to each side of the equation. -10 + 10 + 4m = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 4m = 18 + 10 4m = 18 + 10 Combine like terms: 18 + 10 = 28 4m = 28 Divide each side by '4'. m = 7 Simplifying m = 7
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