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Simplifying 6w + 10 = 4(w + 1) Reorder the terms: 10 + 6w = 4(w + 1) Reorder the terms: 10 + 6w = 4(1 + w) 10 + 6w = (1 * 4 + w * 4) 10 + 6w = (4 + 4w) Solving 10 + 6w = 4 + 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. 10 + 6w + -4w = 4 + 4w + -4w Combine like terms: 6w + -4w = 2w 10 + 2w = 4 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + 2w = 4 + 0 10 + 2w = 4 Add '-10' to each side of the equation. 10 + -10 + 2w = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = 4 + -10 2w = 4 + -10 Combine like terms: 4 + -10 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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