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Simplifying 8(2w + -6) + 64(-1 + -5w) = 0 Reorder the terms: 8(-6 + 2w) + 64(-1 + -5w) = 0 (-6 * 8 + 2w * 8) + 64(-1 + -5w) = 0 (-48 + 16w) + 64(-1 + -5w) = 0 -48 + 16w + (-1 * 64 + -5w * 64) = 0 -48 + 16w + (-64 + -320w) = 0 Reorder the terms: -48 + -64 + 16w + -320w = 0 Combine like terms: -48 + -64 = -112 -112 + 16w + -320w = 0 Combine like terms: 16w + -320w = -304w -112 + -304w = 0 Solving -112 + -304w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '112' to each side of the equation. -112 + 112 + -304w = 0 + 112 Combine like terms: -112 + 112 = 0 0 + -304w = 0 + 112 -304w = 0 + 112 Combine like terms: 0 + 112 = 112 -304w = 112 Divide each side by '-304'. w = -0.3684210526 Simplifying w = -0.3684210526
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