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Simplifying 6w + -47 = 8w + -77 Reorder the terms: -47 + 6w = 8w + -77 Reorder the terms: -47 + 6w = -77 + 8w Solving -47 + 6w = -77 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -47 + 6w + -8w = -77 + 8w + -8w Combine like terms: 6w + -8w = -2w -47 + -2w = -77 + 8w + -8w Combine like terms: 8w + -8w = 0 -47 + -2w = -77 + 0 -47 + -2w = -77 Add '47' to each side of the equation. -47 + 47 + -2w = -77 + 47 Combine like terms: -47 + 47 = 0 0 + -2w = -77 + 47 -2w = -77 + 47 Combine like terms: -77 + 47 = -30 -2w = -30 Divide each side by '-2'. w = 15 Simplifying w = 15
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