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Simplifying 8(2w + -3) = 21w + 14 Reorder the terms: 8(-3 + 2w) = 21w + 14 (-3 * 8 + 2w * 8) = 21w + 14 (-24 + 16w) = 21w + 14 Reorder the terms: -24 + 16w = 14 + 21w Solving -24 + 16w = 14 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -24 + 16w + -21w = 14 + 21w + -21w Combine like terms: 16w + -21w = -5w -24 + -5w = 14 + 21w + -21w Combine like terms: 21w + -21w = 0 -24 + -5w = 14 + 0 -24 + -5w = 14 Add '24' to each side of the equation. -24 + 24 + -5w = 14 + 24 Combine like terms: -24 + 24 = 0 0 + -5w = 14 + 24 -5w = 14 + 24 Combine like terms: 14 + 24 = 38 -5w = 38 Divide each side by '-5'. w = -7.6 Simplifying w = -7.6
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