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Simplifying 5[2 + -1(2w + -4)] = 2(5 + -3w) Reorder the terms: 5[2 + -1(-4 + 2w)] = 2(5 + -3w) 5[2 + (-4 * -1 + 2w * -1)] = 2(5 + -3w) 5[2 + (4 + -2w)] = 2(5 + -3w) Combine like terms: 2 + 4 = 6 5[6 + -2w] = 2(5 + -3w) [6 * 5 + -2w * 5] = 2(5 + -3w) [30 + -10w] = 2(5 + -3w) 30 + -10w = (5 * 2 + -3w * 2) 30 + -10w = (10 + -6w) Solving 30 + -10w = 10 + -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. 30 + -10w + 6w = 10 + -6w + 6w Combine like terms: -10w + 6w = -4w 30 + -4w = 10 + -6w + 6w Combine like terms: -6w + 6w = 0 30 + -4w = 10 + 0 30 + -4w = 10 Add '-30' to each side of the equation. 30 + -30 + -4w = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4w = 10 + -30 -4w = 10 + -30 Combine like terms: 10 + -30 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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