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Simplifying 8(2w + -6) + 4(-1 + -52) = 0 Reorder the terms: 8(-6 + 2w) + 4(-1 + -52) = 0 (-6 * 8 + 2w * 8) + 4(-1 + -52) = 0 (-48 + 16w) + 4(-1 + -52) = 0 Combine like terms: -1 + -52 = -53 -48 + 16w + 4(-53) = 0 Multiply 4 * -53 -48 + 16w + -212 = 0 Reorder the terms: -48 + -212 + 16w = 0 Combine like terms: -48 + -212 = -260 -260 + 16w = 0 Solving -260 + 16w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '260' to each side of the equation. -260 + 260 + 16w = 0 + 260 Combine like terms: -260 + 260 = 0 0 + 16w = 0 + 260 16w = 0 + 260 Combine like terms: 0 + 260 = 260 16w = 260 Divide each side by '16'. w = 16.25 Simplifying w = 16.25
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