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Simplifying 8w + -1 = 12w + 6 Reorder the terms: -1 + 8w = 12w + 6 Reorder the terms: -1 + 8w = 6 + 12w Solving -1 + 8w = 6 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -1 + 8w + -12w = 6 + 12w + -12w Combine like terms: 8w + -12w = -4w -1 + -4w = 6 + 12w + -12w Combine like terms: 12w + -12w = 0 -1 + -4w = 6 + 0 -1 + -4w = 6 Add '1' to each side of the equation. -1 + 1 + -4w = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -4w = 6 + 1 -4w = 6 + 1 Combine like terms: 6 + 1 = 7 -4w = 7 Divide each side by '-4'. w = -1.75 Simplifying w = -1.75
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