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Simplifying 3[7 + -1(2w + 4)] + -15 = 2(5 + -1w) Reorder the terms: 3[7 + -1(4 + 2w)] + -15 = 2(5 + -1w) 3[7 + (4 * -1 + 2w * -1)] + -15 = 2(5 + -1w) 3[7 + (-4 + -2w)] + -15 = 2(5 + -1w) Combine like terms: 7 + -4 = 3 3[3 + -2w] + -15 = 2(5 + -1w) [3 * 3 + -2w * 3] + -15 = 2(5 + -1w) [9 + -6w] + -15 = 2(5 + -1w) Reorder the terms: 9 + -15 + -6w = 2(5 + -1w) Combine like terms: 9 + -15 = -6 -6 + -6w = 2(5 + -1w) -6 + -6w = (5 * 2 + -1w * 2) -6 + -6w = (10 + -2w) Solving -6 + -6w = 10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -6 + -6w + 2w = 10 + -2w + 2w Combine like terms: -6w + 2w = -4w -6 + -4w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + -4w = 10 + 0 -6 + -4w = 10 Add '6' to each side of the equation. -6 + 6 + -4w = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4w = 10 + 6 -4w = 10 + 6 Combine like terms: 10 + 6 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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