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Simplifying 6x + 7(w + -5) = 4 Reorder the terms: 6x + 7(-5 + w) = 4 6x + (-5 * 7 + w * 7) = 4 6x + (-35 + 7w) = 4 Reorder the terms: -35 + 7w + 6x = 4 Solving -35 + 7w + 6x = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 7w + 35 + 6x = 4 + 35 Reorder the terms: -35 + 35 + 7w + 6x = 4 + 35 Combine like terms: -35 + 35 = 0 0 + 7w + 6x = 4 + 35 7w + 6x = 4 + 35 Combine like terms: 4 + 35 = 39 7w + 6x = 39 Add '-6x' to each side of the equation. 7w + 6x + -6x = 39 + -6x Combine like terms: 6x + -6x = 0 7w + 0 = 39 + -6x 7w = 39 + -6x Divide each side by '7'. w = 5.571428571 + -0.8571428571x Simplifying w = 5.571428571 + -0.8571428571x
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