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Simplifying 66 = 2(2w + -8) + 2(w + -4) Reorder the terms: 66 = 2(-8 + 2w) + 2(w + -4) 66 = (-8 * 2 + 2w * 2) + 2(w + -4) 66 = (-16 + 4w) + 2(w + -4) Reorder the terms: 66 = -16 + 4w + 2(-4 + w) 66 = -16 + 4w + (-4 * 2 + w * 2) 66 = -16 + 4w + (-8 + 2w) Reorder the terms: 66 = -16 + -8 + 4w + 2w Combine like terms: -16 + -8 = -24 66 = -24 + 4w + 2w Combine like terms: 4w + 2w = 6w 66 = -24 + 6w Solving 66 = -24 + 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. 66 + -6w = -24 + 6w + -6w Combine like terms: 6w + -6w = 0 66 + -6w = -24 + 0 66 + -6w = -24 Add '-66' to each side of the equation. 66 + -66 + -6w = -24 + -66 Combine like terms: 66 + -66 = 0 0 + -6w = -24 + -66 -6w = -24 + -66 Combine like terms: -24 + -66 = -90 -6w = -90 Divide each side by '-6'. w = 15 Simplifying w = 15
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