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Simplifying 2(w + 1) = 6w + 30 Reorder the terms: 2(1 + w) = 6w + 30 (1 * 2 + w * 2) = 6w + 30 (2 + 2w) = 6w + 30 Reorder the terms: 2 + 2w = 30 + 6w Solving 2 + 2w = 30 + 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. 2 + 2w + -6w = 30 + 6w + -6w Combine like terms: 2w + -6w = -4w 2 + -4w = 30 + 6w + -6w Combine like terms: 6w + -6w = 0 2 + -4w = 30 + 0 2 + -4w = 30 Add '-2' to each side of the equation. 2 + -2 + -4w = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -4w = 30 + -2 -4w = 30 + -2 Combine like terms: 30 + -2 = 28 -4w = 28 Divide each side by '-4'. w = -7 Simplifying w = -7
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