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Simplifying 8 = 3 + (0.50w + -4) + 8 Reorder the terms: 8 = 3 + (-4 + 0.50w) + 8 Remove parenthesis around (-4 + 0.50w) 8 = 3 + -4 + 0.50w + 8 Reorder the terms: 8 = 3 + -4 + 8 + 0.50w Combine like terms: 3 + -4 = -1 8 = -1 + 8 + 0.50w Combine like terms: -1 + 8 = 7 8 = 7 + 0.50w Solving 8 = 7 + 0.50w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.50w' to each side of the equation. 8 + -0.50w = 7 + 0.50w + -0.50w Combine like terms: 0.50w + -0.50w = 0.00 8 + -0.50w = 7 + 0.00 8 + -0.50w = 7 Add '-8' to each side of the equation. 8 + -8 + -0.50w = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -0.50w = 7 + -8 -0.50w = 7 + -8 Combine like terms: 7 + -8 = -1 -0.50w = -1 Divide each side by '-0.50'. w = 2 Simplifying w = 2
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