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Simplifying 58 = 2(2w + -4) + 2w Reorder the terms: 58 = 2(-4 + 2w) + 2w 58 = (-4 * 2 + 2w * 2) + 2w 58 = (-8 + 4w) + 2w Combine like terms: 4w + 2w = 6w 58 = -8 + 6w Solving 58 = -8 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 58 + -6w = -8 + 6w + -6w Combine like terms: 6w + -6w = 0 58 + -6w = -8 + 0 58 + -6w = -8 Add '-58' to each side of the equation. 58 + -58 + -6w = -8 + -58 Combine like terms: 58 + -58 = 0 0 + -6w = -8 + -58 -6w = -8 + -58 Combine like terms: -8 + -58 = -66 -6w = -66 Divide each side by '-6'. w = 11 Simplifying w = 11
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