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Simplifying 8(w + -6) + 4(-1 + -5w) = 0 Reorder the terms: 8(-6 + w) + 4(-1 + -5w) = 0 (-6 * 8 + w * 8) + 4(-1 + -5w) = 0 (-48 + 8w) + 4(-1 + -5w) = 0 -48 + 8w + (-1 * 4 + -5w * 4) = 0 -48 + 8w + (-4 + -20w) = 0 Reorder the terms: -48 + -4 + 8w + -20w = 0 Combine like terms: -48 + -4 = -52 -52 + 8w + -20w = 0 Combine like terms: 8w + -20w = -12w -52 + -12w = 0 Solving -52 + -12w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -12w = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -12w = 0 + 52 -12w = 0 + 52 Combine like terms: 0 + 52 = 52 -12w = 52 Divide each side by '-12'. w = -4.333333333 Simplifying w = -4.333333333
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