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Simplifying -8 + -6(-8m + 6) = -2(m + 1) + 8m Reorder the terms: -8 + -6(6 + -8m) = -2(m + 1) + 8m -8 + (6 * -6 + -8m * -6) = -2(m + 1) + 8m -8 + (-36 + 48m) = -2(m + 1) + 8m Combine like terms: -8 + -36 = -44 -44 + 48m = -2(m + 1) + 8m Reorder the terms: -44 + 48m = -2(1 + m) + 8m -44 + 48m = (1 * -2 + m * -2) + 8m -44 + 48m = (-2 + -2m) + 8m Combine like terms: -2m + 8m = 6m -44 + 48m = -2 + 6m Solving -44 + 48m = -2 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -44 + 48m + -6m = -2 + 6m + -6m Combine like terms: 48m + -6m = 42m -44 + 42m = -2 + 6m + -6m Combine like terms: 6m + -6m = 0 -44 + 42m = -2 + 0 -44 + 42m = -2 Add '44' to each side of the equation. -44 + 44 + 42m = -2 + 44 Combine like terms: -44 + 44 = 0 0 + 42m = -2 + 44 42m = -2 + 44 Combine like terms: -2 + 44 = 42 42m = 42 Divide each side by '42'. m = 1 Simplifying m = 1
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