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Simplifying -10 + 4w + 2 = -2w + -58 + -4w Reorder the terms: -10 + 2 + 4w = -2w + -58 + -4w Combine like terms: -10 + 2 = -8 -8 + 4w = -2w + -58 + -4w Reorder the terms: -8 + 4w = -58 + -2w + -4w Combine like terms: -2w + -4w = -6w -8 + 4w = -58 + -6w Solving -8 + 4w = -58 + -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. -8 + 4w + 6w = -58 + -6w + 6w Combine like terms: 4w + 6w = 10w -8 + 10w = -58 + -6w + 6w Combine like terms: -6w + 6w = 0 -8 + 10w = -58 + 0 -8 + 10w = -58 Add '8' to each side of the equation. -8 + 8 + 10w = -58 + 8 Combine like terms: -8 + 8 = 0 0 + 10w = -58 + 8 10w = -58 + 8 Combine like terms: -58 + 8 = -50 10w = -50 Divide each side by '10'. w = -5 Simplifying w = -5
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