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Simplifying 8(x + 3m + 7) = 0 Reorder the terms: 8(7 + 3m + x) = 0 (7 * 8 + 3m * 8 + x * 8) = 0 (56 + 24m + 8x) = 0 Solving 56 + 24m + 8x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + 24m + -56 + 8x = 0 + -56 Reorder the terms: 56 + -56 + 24m + 8x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 24m + 8x = 0 + -56 24m + 8x = 0 + -56 Combine like terms: 0 + -56 = -56 24m + 8x = -56 Add '-8x' to each side of the equation. 24m + 8x + -8x = -56 + -8x Combine like terms: 8x + -8x = 0 24m + 0 = -56 + -8x 24m = -56 + -8x Divide each side by '24'. m = -2.333333333 + -0.3333333333x Simplifying m = -2.333333333 + -0.3333333333x
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