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Simplifying 6(w + 8) + -3w = 21 Reorder the terms: 6(8 + w) + -3w = 21 (8 * 6 + w * 6) + -3w = 21 (48 + 6w) + -3w = 21 Combine like terms: 6w + -3w = 3w 48 + 3w = 21 Solving 48 + 3w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 3w = 21 + -48 Combine like terms: 48 + -48 = 0 0 + 3w = 21 + -48 3w = 21 + -48 Combine like terms: 21 + -48 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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