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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 = -7 -7 + -15w + 16w = 0 Combine like terms: -15w + 16w = 1w -7 + 1w = 0 Solving -7 + 1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1w = 0 + 7 1w = 0 + 7 Combine like terms: 0 + 7 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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