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Simplifying 39 + -1m = m + -5(1 + -4m) 39 + -1m = m + (1 * -5 + -4m * -5) 39 + -1m = m + (-5 + 20m) Reorder the terms: 39 + -1m = -5 + m + 20m Combine like terms: m + 20m = 21m 39 + -1m = -5 + 21m Solving 39 + -1m = -5 + 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. 39 + -1m + -21m = -5 + 21m + -21m Combine like terms: -1m + -21m = -22m 39 + -22m = -5 + 21m + -21m Combine like terms: 21m + -21m = 0 39 + -22m = -5 + 0 39 + -22m = -5 Add '-39' to each side of the equation. 39 + -39 + -22m = -5 + -39 Combine like terms: 39 + -39 = 0 0 + -22m = -5 + -39 -22m = -5 + -39 Combine like terms: -5 + -39 = -44 -22m = -44 Divide each side by '-22'. m = 2 Simplifying m = 2
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