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Simplifying 4(w + -2) = -2w + 34 Reorder the terms: 4(-2 + w) = -2w + 34 (-2 * 4 + w * 4) = -2w + 34 (-8 + 4w) = -2w + 34 Reorder the terms: -8 + 4w = 34 + -2w Solving -8 + 4w = 34 + -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. -8 + 4w + 2w = 34 + -2w + 2w Combine like terms: 4w + 2w = 6w -8 + 6w = 34 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + 6w = 34 + 0 -8 + 6w = 34 Add '8' to each side of the equation. -8 + 8 + 6w = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 6w = 34 + 8 6w = 34 + 8 Combine like terms: 34 + 8 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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