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Simplifying 7m + -3(2 + -5m) = 2(m + 7) 7m + (2 * -3 + -5m * -3) = 2(m + 7) 7m + (-6 + 15m) = 2(m + 7) Reorder the terms: -6 + 7m + 15m = 2(m + 7) Combine like terms: 7m + 15m = 22m -6 + 22m = 2(m + 7) Reorder the terms: -6 + 22m = 2(7 + m) -6 + 22m = (7 * 2 + m * 2) -6 + 22m = (14 + 2m) Solving -6 + 22m = 14 + 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. -6 + 22m + -2m = 14 + 2m + -2m Combine like terms: 22m + -2m = 20m -6 + 20m = 14 + 2m + -2m Combine like terms: 2m + -2m = 0 -6 + 20m = 14 + 0 -6 + 20m = 14 Add '6' to each side of the equation. -6 + 6 + 20m = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 20m = 14 + 6 20m = 14 + 6 Combine like terms: 14 + 6 = 20 20m = 20 Divide each side by '20'. m = 1 Simplifying m = 1
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