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