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Simplifying 8 + -1(4x + m) = 5(x + -6) + -2 Reorder the terms: 8 + -1(m + 4x) = 5(x + -6) + -2 8 + (m * -1 + 4x * -1) = 5(x + -6) + -2 8 + (-1m + -4x) = 5(x + -6) + -2 Reorder the terms: 8 + -1m + -4x = 5(-6 + x) + -2 8 + -1m + -4x = (-6 * 5 + x * 5) + -2 8 + -1m + -4x = (-30 + 5x) + -2 Reorder the terms: 8 + -1m + -4x = -30 + -2 + 5x Combine like terms: -30 + -2 = -32 8 + -1m + -4x = -32 + 5x Solving 8 + -1m + -4x = -32 + 5x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1m + -8 + -4x = -32 + -8 + 5x Reorder the terms: 8 + -8 + -1m + -4x = -32 + -8 + 5x Combine like terms: 8 + -8 = 0 0 + -1m + -4x = -32 + -8 + 5x -1m + -4x = -32 + -8 + 5x Combine like terms: -32 + -8 = -40 -1m + -4x = -40 + 5x Add '4x' to each side of the equation. -1m + -4x + 4x = -40 + 5x + 4x Combine like terms: -4x + 4x = 0 -1m + 0 = -40 + 5x + 4x -1m = -40 + 5x + 4x Combine like terms: 5x + 4x = 9x -1m = -40 + 9x Divide each side by '-1'. m = 40 + -9x Simplifying m = 40 + -9x
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