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Simplifying 5(3w + -5) + -16(2 + -1w) = 0 Reorder the terms: 5(-5 + 3w) + -16(2 + -1w) = 0 (-5 * 5 + 3w * 5) + -16(2 + -1w) = 0 (-25 + 15w) + -16(2 + -1w) = 0 -25 + 15w + (2 * -16 + -1w * -16) = 0 -25 + 15w + (-32 + 16w) = 0 Reorder the terms: -25 + -32 + 15w + 16w = 0 Combine like terms: -25 + -32 = -57 -57 + 15w + 16w = 0 Combine like terms: 15w + 16w = 31w -57 + 31w = 0 Solving -57 + 31w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 31w = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 31w = 0 + 57 31w = 0 + 57 Combine like terms: 0 + 57 = 57 31w = 57 Divide each side by '31'. w = 1.838709677 Simplifying w = 1.838709677
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