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Simplifying 7m + -5 = 3(m + 3) + 2 Reorder the terms: -5 + 7m = 3(m + 3) + 2 Reorder the terms: -5 + 7m = 3(3 + m) + 2 -5 + 7m = (3 * 3 + m * 3) + 2 -5 + 7m = (9 + 3m) + 2 Reorder the terms: -5 + 7m = 9 + 2 + 3m Combine like terms: 9 + 2 = 11 -5 + 7m = 11 + 3m Solving -5 + 7m = 11 + 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. -5 + 7m + -3m = 11 + 3m + -3m Combine like terms: 7m + -3m = 4m -5 + 4m = 11 + 3m + -3m Combine like terms: 3m + -3m = 0 -5 + 4m = 11 + 0 -5 + 4m = 11 Add '5' to each side of the equation. -5 + 5 + 4m = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 4m = 11 + 5 4m = 11 + 5 Combine like terms: 11 + 5 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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