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Simplifying 7w + -4 + -3w = 2w + -4(5w + -3) Reorder the terms: -4 + 7w + -3w = 2w + -4(5w + -3) Combine like terms: 7w + -3w = 4w -4 + 4w = 2w + -4(5w + -3) Reorder the terms: -4 + 4w = 2w + -4(-3 + 5w) -4 + 4w = 2w + (-3 * -4 + 5w * -4) -4 + 4w = 2w + (12 + -20w) Reorder the terms: -4 + 4w = 12 + 2w + -20w Combine like terms: 2w + -20w = -18w -4 + 4w = 12 + -18w Solving -4 + 4w = 12 + -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. -4 + 4w + 18w = 12 + -18w + 18w Combine like terms: 4w + 18w = 22w -4 + 22w = 12 + -18w + 18w Combine like terms: -18w + 18w = 0 -4 + 22w = 12 + 0 -4 + 22w = 12 Add '4' to each side of the equation. -4 + 4 + 22w = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 22w = 12 + 4 22w = 12 + 4 Combine like terms: 12 + 4 = 16 22w = 16 Divide each side by '22'. w = 0.7272727273 Simplifying w = 0.7272727273
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