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