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Simplifying -6[2m + 1] = 3m + 54 Reorder the terms: -6[1 + 2m] = 3m + 54 [1 * -6 + 2m * -6] = 3m + 54 [-6 + -12m] = 3m + 54 Reorder the terms: -6 + -12m = 54 + 3m Solving -6 + -12m = 54 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -6 + -12m + -3m = 54 + 3m + -3m Combine like terms: -12m + -3m = -15m -6 + -15m = 54 + 3m + -3m Combine like terms: 3m + -3m = 0 -6 + -15m = 54 + 0 -6 + -15m = 54 Add '6' to each side of the equation. -6 + 6 + -15m = 54 + 6 Combine like terms: -6 + 6 = 0 0 + -15m = 54 + 6 -15m = 54 + 6 Combine like terms: 54 + 6 = 60 -15m = 60 Divide each side by '-15'. m = -4 Simplifying m = -4
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