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Simplifying 4(4w + -2) + 2(3w + -5) = 0 Reorder the terms: 4(-2 + 4w) + 2(3w + -5) = 0 (-2 * 4 + 4w * 4) + 2(3w + -5) = 0 (-8 + 16w) + 2(3w + -5) = 0 Reorder the terms: -8 + 16w + 2(-5 + 3w) = 0 -8 + 16w + (-5 * 2 + 3w * 2) = 0 -8 + 16w + (-10 + 6w) = 0 Reorder the terms: -8 + -10 + 16w + 6w = 0 Combine like terms: -8 + -10 = -18 -18 + 16w + 6w = 0 Combine like terms: 16w + 6w = 22w -18 + 22w = 0 Solving -18 + 22w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 22w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 22w = 0 + 18 22w = 0 + 18 Combine like terms: 0 + 18 = 18 22w = 18 Divide each side by '22'. w = 0.8181818182 Simplifying w = 0.8181818182
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