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Simplifying -2(w + 6) + -6 = 4(w + 3) Reorder the terms: -2(6 + w) + -6 = 4(w + 3) (6 * -2 + w * -2) + -6 = 4(w + 3) (-12 + -2w) + -6 = 4(w + 3) Reorder the terms: -12 + -6 + -2w = 4(w + 3) Combine like terms: -12 + -6 = -18 -18 + -2w = 4(w + 3) Reorder the terms: -18 + -2w = 4(3 + w) -18 + -2w = (3 * 4 + w * 4) -18 + -2w = (12 + 4w) Solving -18 + -2w = 12 + 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. -18 + -2w + -4w = 12 + 4w + -4w Combine like terms: -2w + -4w = -6w -18 + -6w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 -18 + -6w = 12 + 0 -18 + -6w = 12 Add '18' to each side of the equation. -18 + 18 + -6w = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -6w = 12 + 18 -6w = 12 + 18 Combine like terms: 12 + 18 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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