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Simplifying 4(w + 1) = 2(3w + -3) Reorder the terms: 4(1 + w) = 2(3w + -3) (1 * 4 + w * 4) = 2(3w + -3) (4 + 4w) = 2(3w + -3) Reorder the terms: 4 + 4w = 2(-3 + 3w) 4 + 4w = (-3 * 2 + 3w * 2) 4 + 4w = (-6 + 6w) Solving 4 + 4w = -6 + 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. 4 + 4w + -6w = -6 + 6w + -6w Combine like terms: 4w + -6w = -2w 4 + -2w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 4 + -2w = -6 + 0 4 + -2w = -6 Add '-4' to each side of the equation. 4 + -4 + -2w = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -2w = -6 + -4 -2w = -6 + -4 Combine like terms: -6 + -4 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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