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Simplifying 0.7w + 2 + w + 3 + -3w + -8 = -2w + 11 Reorder the terms: 2 + 3 + -8 + 0.7w + w + -3w = -2w + 11 Combine like terms: 2 + 3 = 5 5 + -8 + 0.7w + w + -3w = -2w + 11 Combine like terms: 5 + -8 = -3 -3 + 0.7w + w + -3w = -2w + 11 Combine like terms: 0.7w + w = 1.7w -3 + 1.7w + -3w = -2w + 11 Combine like terms: 1.7w + -3w = -1.3w -3 + -1.3w = -2w + 11 Reorder the terms: -3 + -1.3w = 11 + -2w Solving -3 + -1.3w = 11 + -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. -3 + -1.3w + 2w = 11 + -2w + 2w Combine like terms: -1.3w + 2w = 0.7w -3 + 0.7w = 11 + -2w + 2w Combine like terms: -2w + 2w = 0 -3 + 0.7w = 11 + 0 -3 + 0.7w = 11 Add '3' to each side of the equation. -3 + 3 + 0.7w = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 0.7w = 11 + 3 0.7w = 11 + 3 Combine like terms: 11 + 3 = 14 0.7w = 14 Divide each side by '0.7'. w = 20 Simplifying w = 20
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