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Simplifying -9(w + -9) + -1(6w + -3) = -16w Reorder the terms: -9(-9 + w) + -1(6w + -3) = -16w (-9 * -9 + w * -9) + -1(6w + -3) = -16w (81 + -9w) + -1(6w + -3) = -16w Reorder the terms: 81 + -9w + -1(-3 + 6w) = -16w 81 + -9w + (-3 * -1 + 6w * -1) = -16w 81 + -9w + (3 + -6w) = -16w Reorder the terms: 81 + 3 + -9w + -6w = -16w Combine like terms: 81 + 3 = 84 84 + -9w + -6w = -16w Combine like terms: -9w + -6w = -15w 84 + -15w = -16w Solving 84 + -15w = -16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16w' to each side of the equation. 84 + -15w + 16w = -16w + 16w Combine like terms: -15w + 16w = 1w 84 + 1w = -16w + 16w Combine like terms: -16w + 16w = 0 84 + 1w = 0 Add '-84' to each side of the equation. 84 + -84 + 1w = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 1w = 0 + -84 1w = 0 + -84 Combine like terms: 0 + -84 = -84 1w = -84 Divide each side by '1'. w = -84 Simplifying w = -84
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