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Simplifying -1(1 + 6m) + -8 = -7(m + 1) (1 * -1 + 6m * -1) + -8 = -7(m + 1) (-1 + -6m) + -8 = -7(m + 1) Reorder the terms: -1 + -8 + -6m = -7(m + 1) Combine like terms: -1 + -8 = -9 -9 + -6m = -7(m + 1) Reorder the terms: -9 + -6m = -7(1 + m) -9 + -6m = (1 * -7 + m * -7) -9 + -6m = (-7 + -7m) Solving -9 + -6m = -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. -9 + -6m + 7m = -7 + -7m + 7m Combine like terms: -6m + 7m = 1m -9 + 1m = -7 + -7m + 7m Combine like terms: -7m + 7m = 0 -9 + 1m = -7 + 0 -9 + 1m = -7 Add '9' to each side of the equation. -9 + 9 + 1m = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 1m = -7 + 9 1m = -7 + 9 Combine like terms: -7 + 9 = 2 1m = 2 Divide each side by '1'. m = 2 Simplifying m = 2
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