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Simplifying 58 = 4(2w + -5) + 5w Reorder the terms: 58 = 4(-5 + 2w) + 5w 58 = (-5 * 4 + 2w * 4) + 5w 58 = (-20 + 8w) + 5w Combine like terms: 8w + 5w = 13w 58 = -20 + 13w Solving 58 = -20 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 58 + -13w = -20 + 13w + -13w Combine like terms: 13w + -13w = 0 58 + -13w = -20 + 0 58 + -13w = -20 Add '-58' to each side of the equation. 58 + -58 + -13w = -20 + -58 Combine like terms: 58 + -58 = 0 0 + -13w = -20 + -58 -13w = -20 + -58 Combine like terms: -20 + -58 = -78 -13w = -78 Divide each side by '-13'. w = 6 Simplifying w = 6
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