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Simplifying 8(2w + -6) + 7(-1 + 5w) = 0 Reorder the terms: 8(-6 + 2w) + 7(-1 + 5w) = 0 (-6 * 8 + 2w * 8) + 7(-1 + 5w) = 0 (-48 + 16w) + 7(-1 + 5w) = 0 -48 + 16w + (-1 * 7 + 5w * 7) = 0 -48 + 16w + (-7 + 35w) = 0 Reorder the terms: -48 + -7 + 16w + 35w = 0 Combine like terms: -48 + -7 = -55 -55 + 16w + 35w = 0 Combine like terms: 16w + 35w = 51w -55 + 51w = 0 Solving -55 + 51w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 51w = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 51w = 0 + 55 51w = 0 + 55 Combine like terms: 0 + 55 = 55 51w = 55 Divide each side by '51'. w = 1.078431373 Simplifying w = 1.078431373
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