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Simplifying 5(2w + 6) + -12 = 4w + 2 Reorder the terms: 5(6 + 2w) + -12 = 4w + 2 (6 * 5 + 2w * 5) + -12 = 4w + 2 (30 + 10w) + -12 = 4w + 2 Reorder the terms: 30 + -12 + 10w = 4w + 2 Combine like terms: 30 + -12 = 18 18 + 10w = 4w + 2 Reorder the terms: 18 + 10w = 2 + 4w Solving 18 + 10w = 2 + 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 + 10w + -4w = 2 + 4w + -4w Combine like terms: 10w + -4w = 6w 18 + 6w = 2 + 4w + -4w Combine like terms: 4w + -4w = 0 18 + 6w = 2 + 0 18 + 6w = 2 Add '-18' to each side of the equation. 18 + -18 + 6w = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 6w = 2 + -18 6w = 2 + -18 Combine like terms: 2 + -18 = -16 6w = -16 Divide each side by '6'. w = -2.666666667 Simplifying w = -2.666666667
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