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Simplifying 5(5w + 5) + 3w = 7(w + 8) + -4 Reorder the terms: 5(5 + 5w) + 3w = 7(w + 8) + -4 (5 * 5 + 5w * 5) + 3w = 7(w + 8) + -4 (25 + 25w) + 3w = 7(w + 8) + -4 Combine like terms: 25w + 3w = 28w 25 + 28w = 7(w + 8) + -4 Reorder the terms: 25 + 28w = 7(8 + w) + -4 25 + 28w = (8 * 7 + w * 7) + -4 25 + 28w = (56 + 7w) + -4 Reorder the terms: 25 + 28w = 56 + -4 + 7w Combine like terms: 56 + -4 = 52 25 + 28w = 52 + 7w Solving 25 + 28w = 52 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 25 + 28w + -7w = 52 + 7w + -7w Combine like terms: 28w + -7w = 21w 25 + 21w = 52 + 7w + -7w Combine like terms: 7w + -7w = 0 25 + 21w = 52 + 0 25 + 21w = 52 Add '-25' to each side of the equation. 25 + -25 + 21w = 52 + -25 Combine like terms: 25 + -25 = 0 0 + 21w = 52 + -25 21w = 52 + -25 Combine like terms: 52 + -25 = 27 21w = 27 Divide each side by '21'. w = 1.285714286 Simplifying w = 1.285714286
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