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Simplifying 4(w + 1) + 5(w + 2) + -5(3w + 3) + -1 = 0 Reorder the terms: 4(1 + w) + 5(w + 2) + -5(3w + 3) + -1 = 0 (1 * 4 + w * 4) + 5(w + 2) + -5(3w + 3) + -1 = 0 (4 + 4w) + 5(w + 2) + -5(3w + 3) + -1 = 0 Reorder the terms: 4 + 4w + 5(2 + w) + -5(3w + 3) + -1 = 0 4 + 4w + (2 * 5 + w * 5) + -5(3w + 3) + -1 = 0 4 + 4w + (10 + 5w) + -5(3w + 3) + -1 = 0 Reorder the terms: 4 + 4w + 10 + 5w + -5(3 + 3w) + -1 = 0 4 + 4w + 10 + 5w + (3 * -5 + 3w * -5) + -1 = 0 4 + 4w + 10 + 5w + (-15 + -15w) + -1 = 0 Reorder the terms: 4 + 10 + -15 + -1 + 4w + 5w + -15w = 0 Combine like terms: 4 + 10 = 14 14 + -15 + -1 + 4w + 5w + -15w = 0 Combine like terms: 14 + -15 = -1 -1 + -1 + 4w + 5w + -15w = 0 Combine like terms: -1 + -1 = -2 -2 + 4w + 5w + -15w = 0 Combine like terms: 4w + 5w = 9w -2 + 9w + -15w = 0 Combine like terms: 9w + -15w = -6w -2 + -6w = 0 Solving -2 + -6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -6w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -6w = 0 + 2 -6w = 0 + 2 Combine like terms: 0 + 2 = 2 -6w = 2 Divide each side by '-6'. w = -0.3333333333 Simplifying w = -0.3333333333
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