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Simplifying 2w + 2 = 4(3w + -2) Reorder the terms: 2 + 2w = 4(3w + -2) Reorder the terms: 2 + 2w = 4(-2 + 3w) 2 + 2w = (-2 * 4 + 3w * 4) 2 + 2w = (-8 + 12w) Solving 2 + 2w = -8 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 2 + 2w + -12w = -8 + 12w + -12w Combine like terms: 2w + -12w = -10w 2 + -10w = -8 + 12w + -12w Combine like terms: 12w + -12w = 0 2 + -10w = -8 + 0 2 + -10w = -8 Add '-2' to each side of the equation. 2 + -2 + -10w = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -10w = -8 + -2 -10w = -8 + -2 Combine like terms: -8 + -2 = -10 -10w = -10 Divide each side by '-10'. w = 1 Simplifying w = 1
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