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Simplifying 4(m + -5) + 3(m + 2) = 16 + -3m Reorder the terms: 4(-5 + m) + 3(m + 2) = 16 + -3m (-5 * 4 + m * 4) + 3(m + 2) = 16 + -3m (-20 + 4m) + 3(m + 2) = 16 + -3m Reorder the terms: -20 + 4m + 3(2 + m) = 16 + -3m -20 + 4m + (2 * 3 + m * 3) = 16 + -3m -20 + 4m + (6 + 3m) = 16 + -3m Reorder the terms: -20 + 6 + 4m + 3m = 16 + -3m Combine like terms: -20 + 6 = -14 -14 + 4m + 3m = 16 + -3m Combine like terms: 4m + 3m = 7m -14 + 7m = 16 + -3m Solving -14 + 7m = 16 + -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. -14 + 7m + 3m = 16 + -3m + 3m Combine like terms: 7m + 3m = 10m -14 + 10m = 16 + -3m + 3m Combine like terms: -3m + 3m = 0 -14 + 10m = 16 + 0 -14 + 10m = 16 Add '14' to each side of the equation. -14 + 14 + 10m = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 10m = 16 + 14 10m = 16 + 14 Combine like terms: 16 + 14 = 30 10m = 30 Divide each side by '10'. m = 3 Simplifying m = 3
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