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Simplifying 3(2w + 1w) + -86 = 4w + -24 Combine like terms: 2w + 1w = 3w 3(3w) + -86 = 4w + -24 Remove parenthesis around (3w) 3 * 3w + -86 = 4w + -24 Multiply 3 * 3 9w + -86 = 4w + -24 Reorder the terms: -86 + 9w = 4w + -24 Reorder the terms: -86 + 9w = -24 + 4w Solving -86 + 9w = -24 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -86 + 9w + -4w = -24 + 4w + -4w Combine like terms: 9w + -4w = 5w -86 + 5w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 -86 + 5w = -24 + 0 -86 + 5w = -24 Add '86' to each side of the equation. -86 + 86 + 5w = -24 + 86 Combine like terms: -86 + 86 = 0 0 + 5w = -24 + 86 5w = -24 + 86 Combine like terms: -24 + 86 = 62 5w = 62 Divide each side by '5'. w = 12.4 Simplifying w = 12.4
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