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Simplifying 3m + -18 = 8(5 + -7m) + 1 Reorder the terms: -18 + 3m = 8(5 + -7m) + 1 -18 + 3m = (5 * 8 + -7m * 8) + 1 -18 + 3m = (40 + -56m) + 1 Reorder the terms: -18 + 3m = 40 + 1 + -56m Combine like terms: 40 + 1 = 41 -18 + 3m = 41 + -56m Solving -18 + 3m = 41 + -56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '56m' to each side of the equation. -18 + 3m + 56m = 41 + -56m + 56m Combine like terms: 3m + 56m = 59m -18 + 59m = 41 + -56m + 56m Combine like terms: -56m + 56m = 0 -18 + 59m = 41 + 0 -18 + 59m = 41 Add '18' to each side of the equation. -18 + 18 + 59m = 41 + 18 Combine like terms: -18 + 18 = 0 0 + 59m = 41 + 18 59m = 41 + 18 Combine like terms: 41 + 18 = 59 59m = 59 Divide each side by '59'. m = 1 Simplifying m = 1
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