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Simplifying -1(1 + 4m) + -1 = -7(m + -1) (1 * -1 + 4m * -1) + -1 = -7(m + -1) (-1 + -4m) + -1 = -7(m + -1) Reorder the terms: -1 + -1 + -4m = -7(m + -1) Combine like terms: -1 + -1 = -2 -2 + -4m = -7(m + -1) Reorder the terms: -2 + -4m = -7(-1 + m) -2 + -4m = (-1 * -7 + m * -7) -2 + -4m = (7 + -7m) Solving -2 + -4m = 7 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -2 + -4m + 7m = 7 + -7m + 7m Combine like terms: -4m + 7m = 3m -2 + 3m = 7 + -7m + 7m Combine like terms: -7m + 7m = 0 -2 + 3m = 7 + 0 -2 + 3m = 7 Add '2' to each side of the equation. -2 + 2 + 3m = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3m = 7 + 2 3m = 7 + 2 Combine like terms: 7 + 2 = 9 3m = 9 Divide each side by '3'. m = 3 Simplifying m = 3
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