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Simplifying 3(w + -5) + 4(w + -25) = 4 Reorder the terms: 3(-5 + w) + 4(w + -25) = 4 (-5 * 3 + w * 3) + 4(w + -25) = 4 (-15 + 3w) + 4(w + -25) = 4 Reorder the terms: -15 + 3w + 4(-25 + w) = 4 -15 + 3w + (-25 * 4 + w * 4) = 4 -15 + 3w + (-100 + 4w) = 4 Reorder the terms: -15 + -100 + 3w + 4w = 4 Combine like terms: -15 + -100 = -115 -115 + 3w + 4w = 4 Combine like terms: 3w + 4w = 7w -115 + 7w = 4 Solving -115 + 7w = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '115' to each side of the equation. -115 + 115 + 7w = 4 + 115 Combine like terms: -115 + 115 = 0 0 + 7w = 4 + 115 7w = 4 + 115 Combine like terms: 4 + 115 = 119 7w = 119 Divide each side by '7'. w = 17 Simplifying w = 17
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