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Simplifying 8w + -9 = 2(6w + 7) Reorder the terms: -9 + 8w = 2(6w + 7) Reorder the terms: -9 + 8w = 2(7 + 6w) -9 + 8w = (7 * 2 + 6w * 2) -9 + 8w = (14 + 12w) Solving -9 + 8w = 14 + 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. -9 + 8w + -12w = 14 + 12w + -12w Combine like terms: 8w + -12w = -4w -9 + -4w = 14 + 12w + -12w Combine like terms: 12w + -12w = 0 -9 + -4w = 14 + 0 -9 + -4w = 14 Add '9' to each side of the equation. -9 + 9 + -4w = 14 + 9 Combine like terms: -9 + 9 = 0 0 + -4w = 14 + 9 -4w = 14 + 9 Combine like terms: 14 + 9 = 23 -4w = 23 Divide each side by '-4'. w = -5.75 Simplifying w = -5.75
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