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Simplifying 10 + -3w = 4 + 2(2w + 1) Reorder the terms: 10 + -3w = 4 + 2(1 + 2w) 10 + -3w = 4 + (1 * 2 + 2w * 2) 10 + -3w = 4 + (2 + 4w) Combine like terms: 4 + 2 = 6 10 + -3w = 6 + 4w Solving 10 + -3w = 6 + 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 + -3w + -4w = 6 + 4w + -4w Combine like terms: -3w + -4w = -7w 10 + -7w = 6 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + -7w = 6 + 0 10 + -7w = 6 Add '-10' to each side of the equation. 10 + -10 + -7w = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -7w = 6 + -10 -7w = 6 + -10 Combine like terms: 6 + -10 = -4 -7w = -4 Divide each side by '-7'. w = 0.5714285714 Simplifying w = 0.5714285714
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