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Simplifying 6(4m + -6) = 30 + 2m Reorder the terms: 6(-6 + 4m) = 30 + 2m (-6 * 6 + 4m * 6) = 30 + 2m (-36 + 24m) = 30 + 2m Solving -36 + 24m = 30 + 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. -36 + 24m + -2m = 30 + 2m + -2m Combine like terms: 24m + -2m = 22m -36 + 22m = 30 + 2m + -2m Combine like terms: 2m + -2m = 0 -36 + 22m = 30 + 0 -36 + 22m = 30 Add '36' to each side of the equation. -36 + 36 + 22m = 30 + 36 Combine like terms: -36 + 36 = 0 0 + 22m = 30 + 36 22m = 30 + 36 Combine like terms: 30 + 36 = 66 22m = 66 Divide each side by '22'. m = 3 Simplifying m = 3
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