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Simplifying 8(x + 7m + 6) = 0 Reorder the terms: 8(6 + 7m + x) = 0 (6 * 8 + 7m * 8 + x * 8) = 0 (48 + 56m + 8x) = 0 Solving 48 + 56m + 8x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 56m + -48 + 8x = 0 + -48 Reorder the terms: 48 + -48 + 56m + 8x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 56m + 8x = 0 + -48 56m + 8x = 0 + -48 Combine like terms: 0 + -48 = -48 56m + 8x = -48 Add '-8x' to each side of the equation. 56m + 8x + -8x = -48 + -8x Combine like terms: 8x + -8x = 0 56m + 0 = -48 + -8x 56m = -48 + -8x Divide each side by '56'. m = -0.8571428571 + -0.1428571429x Simplifying m = -0.8571428571 + -0.1428571429x
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