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Simplifying 8(2w + -3) = 3(6 + -4w) Reorder the terms: 8(-3 + 2w) = 3(6 + -4w) (-3 * 8 + 2w * 8) = 3(6 + -4w) (-24 + 16w) = 3(6 + -4w) -24 + 16w = (6 * 3 + -4w * 3) -24 + 16w = (18 + -12w) Solving -24 + 16w = 18 + -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. -24 + 16w + 12w = 18 + -12w + 12w Combine like terms: 16w + 12w = 28w -24 + 28w = 18 + -12w + 12w Combine like terms: -12w + 12w = 0 -24 + 28w = 18 + 0 -24 + 28w = 18 Add '24' to each side of the equation. -24 + 24 + 28w = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 28w = 18 + 24 28w = 18 + 24 Combine like terms: 18 + 24 = 42 28w = 42 Divide each side by '28'. w = 1.5 Simplifying w = 1.5
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