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Simplifying 66 = 2(3w + -4) + 2(w + 1) Reorder the terms: 66 = 2(-4 + 3w) + 2(w + 1) 66 = (-4 * 2 + 3w * 2) + 2(w + 1) 66 = (-8 + 6w) + 2(w + 1) Reorder the terms: 66 = -8 + 6w + 2(1 + w) 66 = -8 + 6w + (1 * 2 + w * 2) 66 = -8 + 6w + (2 + 2w) Reorder the terms: 66 = -8 + 2 + 6w + 2w Combine like terms: -8 + 2 = -6 66 = -6 + 6w + 2w Combine like terms: 6w + 2w = 8w 66 = -6 + 8w Solving 66 = -6 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 66 + -8w = -6 + 8w + -8w Combine like terms: 8w + -8w = 0 66 + -8w = -6 + 0 66 + -8w = -6 Add '-66' to each side of the equation. 66 + -66 + -8w = -6 + -66 Combine like terms: 66 + -66 = 0 0 + -8w = -6 + -66 -8w = -6 + -66 Combine like terms: -6 + -66 = -72 -8w = -72 Divide each side by '-8'. w = 9 Simplifying w = 9
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