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Simplifying 0 = 8(2w + -6) + -4(1 + -5w) Reorder the terms: 0 = 8(-6 + 2w) + -4(1 + -5w) 0 = (-6 * 8 + 2w * 8) + -4(1 + -5w) 0 = (-48 + 16w) + -4(1 + -5w) 0 = -48 + 16w + (1 * -4 + -5w * -4) 0 = -48 + 16w + (-4 + 20w) Reorder the terms: 0 = -48 + -4 + 16w + 20w Combine like terms: -48 + -4 = -52 0 = -52 + 16w + 20w Combine like terms: 16w + 20w = 36w 0 = -52 + 36w Solving 0 = -52 + 36w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36w' to each side of the equation. 0 + -36w = -52 + 36w + -36w Remove the zero: -36w = -52 + 36w + -36w Combine like terms: 36w + -36w = 0 -36w = -52 + 0 -36w = -52 Divide each side by '-36'. w = 1.444444444 Simplifying w = 1.444444444
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