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Simplifying 2w + -10 = 6w + 38 Reorder the terms: -10 + 2w = 6w + 38 Reorder the terms: -10 + 2w = 38 + 6w Solving -10 + 2w = 38 + 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. -10 + 2w + -6w = 38 + 6w + -6w Combine like terms: 2w + -6w = -4w -10 + -4w = 38 + 6w + -6w Combine like terms: 6w + -6w = 0 -10 + -4w = 38 + 0 -10 + -4w = 38 Add '10' to each side of the equation. -10 + 10 + -4w = 38 + 10 Combine like terms: -10 + 10 = 0 0 + -4w = 38 + 10 -4w = 38 + 10 Combine like terms: 38 + 10 = 48 -4w = 48 Divide each side by '-4'. w = -12 Simplifying w = -12
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