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Simplifying 12 + -2m + -3(m + 5) = 4(m + 3) + 1 + -1m Reorder the terms: 12 + -2m + -3(5 + m) = 4(m + 3) + 1 + -1m 12 + -2m + (5 * -3 + m * -3) = 4(m + 3) + 1 + -1m 12 + -2m + (-15 + -3m) = 4(m + 3) + 1 + -1m Reorder the terms: 12 + -15 + -2m + -3m = 4(m + 3) + 1 + -1m Combine like terms: 12 + -15 = -3 -3 + -2m + -3m = 4(m + 3) + 1 + -1m Combine like terms: -2m + -3m = -5m -3 + -5m = 4(m + 3) + 1 + -1m Reorder the terms: -3 + -5m = 4(3 + m) + 1 + -1m -3 + -5m = (3 * 4 + m * 4) + 1 + -1m -3 + -5m = (12 + 4m) + 1 + -1m Reorder the terms: -3 + -5m = 12 + 1 + 4m + -1m Combine like terms: 12 + 1 = 13 -3 + -5m = 13 + 4m + -1m Combine like terms: 4m + -1m = 3m -3 + -5m = 13 + 3m Solving -3 + -5m = 13 + 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. -3 + -5m + -3m = 13 + 3m + -3m Combine like terms: -5m + -3m = -8m -3 + -8m = 13 + 3m + -3m Combine like terms: 3m + -3m = 0 -3 + -8m = 13 + 0 -3 + -8m = 13 Add '3' to each side of the equation. -3 + 3 + -8m = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -8m = 13 + 3 -8m = 13 + 3 Combine like terms: 13 + 3 = 16 -8m = 16 Divide each side by '-8'. m = -2 Simplifying m = -2
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