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Simplifying -4(7 + -1w + 8) + -7w = 6(w + -3) + -5 Reorder the terms: -4(7 + 8 + -1w) + -7w = 6(w + -3) + -5 Combine like terms: 7 + 8 = 15 -4(15 + -1w) + -7w = 6(w + -3) + -5 (15 * -4 + -1w * -4) + -7w = 6(w + -3) + -5 (-60 + 4w) + -7w = 6(w + -3) + -5 Combine like terms: 4w + -7w = -3w -60 + -3w = 6(w + -3) + -5 Reorder the terms: -60 + -3w = 6(-3 + w) + -5 -60 + -3w = (-3 * 6 + w * 6) + -5 -60 + -3w = (-18 + 6w) + -5 Reorder the terms: -60 + -3w = -18 + -5 + 6w Combine like terms: -18 + -5 = -23 -60 + -3w = -23 + 6w Solving -60 + -3w = -23 + 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. -60 + -3w + -6w = -23 + 6w + -6w Combine like terms: -3w + -6w = -9w -60 + -9w = -23 + 6w + -6w Combine like terms: 6w + -6w = 0 -60 + -9w = -23 + 0 -60 + -9w = -23 Add '60' to each side of the equation. -60 + 60 + -9w = -23 + 60 Combine like terms: -60 + 60 = 0 0 + -9w = -23 + 60 -9w = -23 + 60 Combine like terms: -23 + 60 = 37 -9w = 37 Divide each side by '-9'. w = -4.111111111 Simplifying w = -4.111111111
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