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Simplifying 6(w + 1) = -3(4w + -4) + 6w Reorder the terms: 6(1 + w) = -3(4w + -4) + 6w (1 * 6 + w * 6) = -3(4w + -4) + 6w (6 + 6w) = -3(4w + -4) + 6w Reorder the terms: 6 + 6w = -3(-4 + 4w) + 6w 6 + 6w = (-4 * -3 + 4w * -3) + 6w 6 + 6w = (12 + -12w) + 6w Combine like terms: -12w + 6w = -6w 6 + 6w = 12 + -6w Solving 6 + 6w = 12 + -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. 6 + 6w + 6w = 12 + -6w + 6w Combine like terms: 6w + 6w = 12w 6 + 12w = 12 + -6w + 6w Combine like terms: -6w + 6w = 0 6 + 12w = 12 + 0 6 + 12w = 12 Add '-6' to each side of the equation. 6 + -6 + 12w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 12w = 12 + -6 12w = 12 + -6 Combine like terms: 12 + -6 = 6 12w = 6 Divide each side by '12'. w = 0.5 Simplifying w = 0.5
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