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Simplifying -18 + m = 7m + 6(4m + 2) Reorder the terms: -18 + m = 7m + 6(2 + 4m) -18 + m = 7m + (2 * 6 + 4m * 6) -18 + m = 7m + (12 + 24m) Reorder the terms: -18 + m = 12 + 7m + 24m Combine like terms: 7m + 24m = 31m -18 + m = 12 + 31m Solving -18 + m = 12 + 31m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-31m' to each side of the equation. -18 + m + -31m = 12 + 31m + -31m Combine like terms: m + -31m = -30m -18 + -30m = 12 + 31m + -31m Combine like terms: 31m + -31m = 0 -18 + -30m = 12 + 0 -18 + -30m = 12 Add '18' to each side of the equation. -18 + 18 + -30m = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -30m = 12 + 18 -30m = 12 + 18 Combine like terms: 12 + 18 = 30 -30m = 30 Divide each side by '-30'. m = -1 Simplifying m = -1
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