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Simplifying 4(w + 1) + 5 = 6(w + -1) + w Reorder the terms: 4(1 + w) + 5 = 6(w + -1) + w (1 * 4 + w * 4) + 5 = 6(w + -1) + w (4 + 4w) + 5 = 6(w + -1) + w Reorder the terms: 4 + 5 + 4w = 6(w + -1) + w Combine like terms: 4 + 5 = 9 9 + 4w = 6(w + -1) + w Reorder the terms: 9 + 4w = 6(-1 + w) + w 9 + 4w = (-1 * 6 + w * 6) + w 9 + 4w = (-6 + 6w) + w Combine like terms: 6w + w = 7w 9 + 4w = -6 + 7w Solving 9 + 4w = -6 + 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. 9 + 4w + -7w = -6 + 7w + -7w Combine like terms: 4w + -7w = -3w 9 + -3w = -6 + 7w + -7w Combine like terms: 7w + -7w = 0 9 + -3w = -6 + 0 9 + -3w = -6 Add '-9' to each side of the equation. 9 + -9 + -3w = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = -6 + -9 -3w = -6 + -9 Combine like terms: -6 + -9 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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