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Simplifying 21 = (-3) + 6(1w + 8) 21 = -3 + 6(1w + 8) Reorder the terms: 21 = -3 + 6(8 + 1w) 21 = -3 + (8 * 6 + 1w * 6) 21 = -3 + (48 + 6w) Combine like terms: -3 + 48 = 45 21 = 45 + 6w Solving 21 = 45 + 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. 21 + -6w = 45 + 6w + -6w Combine like terms: 6w + -6w = 0 21 + -6w = 45 + 0 21 + -6w = 45 Add '-21' to each side of the equation. 21 + -21 + -6w = 45 + -21 Combine like terms: 21 + -21 = 0 0 + -6w = 45 + -21 -6w = 45 + -21 Combine like terms: 45 + -21 = 24 -6w = 24 Divide each side by '-6'. w = -4 Simplifying w = -4
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