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Simplifying 6(w + 1) + -9 = 4(w + -1) + 2 Reorder the terms: 6(1 + w) + -9 = 4(w + -1) + 2 (1 * 6 + w * 6) + -9 = 4(w + -1) + 2 (6 + 6w) + -9 = 4(w + -1) + 2 Reorder the terms: 6 + -9 + 6w = 4(w + -1) + 2 Combine like terms: 6 + -9 = -3 -3 + 6w = 4(w + -1) + 2 Reorder the terms: -3 + 6w = 4(-1 + w) + 2 -3 + 6w = (-1 * 4 + w * 4) + 2 -3 + 6w = (-4 + 4w) + 2 Reorder the terms: -3 + 6w = -4 + 2 + 4w Combine like terms: -4 + 2 = -2 -3 + 6w = -2 + 4w Solving -3 + 6w = -2 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -3 + 6w + -4w = -2 + 4w + -4w Combine like terms: 6w + -4w = 2w -3 + 2w = -2 + 4w + -4w Combine like terms: 4w + -4w = 0 -3 + 2w = -2 + 0 -3 + 2w = -2 Add '3' to each side of the equation. -3 + 3 + 2w = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = -2 + 3 2w = -2 + 3 Combine like terms: -2 + 3 = 1 2w = 1 Divide each side by '2'. w = 0.5 Simplifying w = 0.5
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