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Simplifying -1(1 + -7m) = 4(m + 5) (1 * -1 + -7m * -1) = 4(m + 5) (-1 + 7m) = 4(m + 5) Reorder the terms: -1 + 7m = 4(5 + m) -1 + 7m = (5 * 4 + m * 4) -1 + 7m = (20 + 4m) Solving -1 + 7m = 20 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -1 + 7m + -4m = 20 + 4m + -4m Combine like terms: 7m + -4m = 3m -1 + 3m = 20 + 4m + -4m Combine like terms: 4m + -4m = 0 -1 + 3m = 20 + 0 -1 + 3m = 20 Add '1' to each side of the equation. -1 + 1 + 3m = 20 + 1 Combine like terms: -1 + 1 = 0 0 + 3m = 20 + 1 3m = 20 + 1 Combine like terms: 20 + 1 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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