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Simplifying 8 + -1(4x + 7m) = 5(x + 6) + -2 Reorder the terms: 8 + -1(7m + 4x) = 5(x + 6) + -2 8 + (7m * -1 + 4x * -1) = 5(x + 6) + -2 8 + (-7m + -4x) = 5(x + 6) + -2 Reorder the terms: 8 + -7m + -4x = 5(6 + x) + -2 8 + -7m + -4x = (6 * 5 + x * 5) + -2 8 + -7m + -4x = (30 + 5x) + -2 Reorder the terms: 8 + -7m + -4x = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 8 + -7m + -4x = 28 + 5x Solving 8 + -7m + -4x = 28 + 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 + -7m + -8 + -4x = 28 + -8 + 5x Reorder the terms: 8 + -8 + -7m + -4x = 28 + -8 + 5x Combine like terms: 8 + -8 = 0 0 + -7m + -4x = 28 + -8 + 5x -7m + -4x = 28 + -8 + 5x Combine like terms: 28 + -8 = 20 -7m + -4x = 20 + 5x Add '4x' to each side of the equation. -7m + -4x + 4x = 20 + 5x + 4x Combine like terms: -4x + 4x = 0 -7m + 0 = 20 + 5x + 4x -7m = 20 + 5x + 4x Combine like terms: 5x + 4x = 9x -7m = 20 + 9x Divide each side by '-7'. m = -2.857142857 + -1.285714286x Simplifying m = -2.857142857 + -1.285714286x
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