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Simplifying -2w + -10 + 6w = 35 + 10w + -3 Reorder the terms: -10 + -2w + 6w = 35 + 10w + -3 Combine like terms: -2w + 6w = 4w -10 + 4w = 35 + 10w + -3 Reorder the terms: -10 + 4w = 35 + -3 + 10w Combine like terms: 35 + -3 = 32 -10 + 4w = 32 + 10w Solving -10 + 4w = 32 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -10 + 4w + -10w = 32 + 10w + -10w Combine like terms: 4w + -10w = -6w -10 + -6w = 32 + 10w + -10w Combine like terms: 10w + -10w = 0 -10 + -6w = 32 + 0 -10 + -6w = 32 Add '10' to each side of the equation. -10 + 10 + -6w = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -6w = 32 + 10 -6w = 32 + 10 Combine like terms: 32 + 10 = 42 -6w = 42 Divide each side by '-6'. w = -7 Simplifying w = -7
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