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Simplifying 3(m + -5) + -2 = 12 + 19 Reorder the terms: 3(-5 + m) + -2 = 12 + 19 (-5 * 3 + m * 3) + -2 = 12 + 19 (-15 + 3m) + -2 = 12 + 19 Reorder the terms: -15 + -2 + 3m = 12 + 19 Combine like terms: -15 + -2 = -17 -17 + 3m = 12 + 19 Combine like terms: 12 + 19 = 31 -17 + 3m = 31 Solving -17 + 3m = 31 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3m = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 3m = 31 + 17 3m = 31 + 17 Combine like terms: 31 + 17 = 48 3m = 48 Divide each side by '3'. m = 16 Simplifying m = 16
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