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Simplifying 4m + -9(m + 4) = 6 + 6 + -2m Reorder the terms: 4m + -9(4 + m) = 6 + 6 + -2m 4m + (4 * -9 + m * -9) = 6 + 6 + -2m 4m + (-36 + -9m) = 6 + 6 + -2m Reorder the terms: -36 + 4m + -9m = 6 + 6 + -2m Combine like terms: 4m + -9m = -5m -36 + -5m = 6 + 6 + -2m Combine like terms: 6 + 6 = 12 -36 + -5m = 12 + -2m Solving -36 + -5m = 12 + -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 + -5m + 2m = 12 + -2m + 2m Combine like terms: -5m + 2m = -3m -36 + -3m = 12 + -2m + 2m Combine like terms: -2m + 2m = 0 -36 + -3m = 12 + 0 -36 + -3m = 12 Add '36' to each side of the equation. -36 + 36 + -3m = 12 + 36 Combine like terms: -36 + 36 = 0 0 + -3m = 12 + 36 -3m = 12 + 36 Combine like terms: 12 + 36 = 48 -3m = 48 Divide each side by '-3'. m = -16 Simplifying m = -16
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