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Simplifying 7w + -3(4x + 8) = 1 Reorder the terms: 7w + -3(8 + 4x) = 1 7w + (8 * -3 + 4x * -3) = 1 7w + (-24 + -12x) = 1 Reorder the terms: -24 + 7w + -12x = 1 Solving -24 + 7w + -12x = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 7w + 24 + -12x = 1 + 24 Reorder the terms: -24 + 24 + 7w + -12x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 7w + -12x = 1 + 24 7w + -12x = 1 + 24 Combine like terms: 1 + 24 = 25 7w + -12x = 25 Add '12x' to each side of the equation. 7w + -12x + 12x = 25 + 12x Combine like terms: -12x + 12x = 0 7w + 0 = 25 + 12x 7w = 25 + 12x Divide each side by '7'. w = 3.571428571 + 1.714285714x Simplifying w = 3.571428571 + 1.714285714x
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