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Simplifying 6(w + 3) = -5(2w + -3) + 4w Reorder the terms: 6(3 + w) = -5(2w + -3) + 4w (3 * 6 + w * 6) = -5(2w + -3) + 4w (18 + 6w) = -5(2w + -3) + 4w Reorder the terms: 18 + 6w = -5(-3 + 2w) + 4w 18 + 6w = (-3 * -5 + 2w * -5) + 4w 18 + 6w = (15 + -10w) + 4w Combine like terms: -10w + 4w = -6w 18 + 6w = 15 + -6w Solving 18 + 6w = 15 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 18 + 6w + 6w = 15 + -6w + 6w Combine like terms: 6w + 6w = 12w 18 + 12w = 15 + -6w + 6w Combine like terms: -6w + 6w = 0 18 + 12w = 15 + 0 18 + 12w = 15 Add '-18' to each side of the equation. 18 + -18 + 12w = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 12w = 15 + -18 12w = 15 + -18 Combine like terms: 15 + -18 = -3 12w = -3 Divide each side by '12'. w = -0.25 Simplifying w = -0.25
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