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Simplifying 3(m + -15) + 1 = 2m + 2 + -9 Reorder the terms: 3(-15 + m) + 1 = 2m + 2 + -9 (-15 * 3 + m * 3) + 1 = 2m + 2 + -9 (-45 + 3m) + 1 = 2m + 2 + -9 Reorder the terms: -45 + 1 + 3m = 2m + 2 + -9 Combine like terms: -45 + 1 = -44 -44 + 3m = 2m + 2 + -9 Reorder the terms: -44 + 3m = 2 + -9 + 2m Combine like terms: 2 + -9 = -7 -44 + 3m = -7 + 2m Solving -44 + 3m = -7 + 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. -44 + 3m + -2m = -7 + 2m + -2m Combine like terms: 3m + -2m = 1m -44 + 1m = -7 + 2m + -2m Combine like terms: 2m + -2m = 0 -44 + 1m = -7 + 0 -44 + 1m = -7 Add '44' to each side of the equation. -44 + 44 + 1m = -7 + 44 Combine like terms: -44 + 44 = 0 0 + 1m = -7 + 44 1m = -7 + 44 Combine like terms: -7 + 44 = 37 1m = 37 Divide each side by '1'. m = 37 Simplifying m = 37
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