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Simplifying 9w + -3 + -16w + 8 = 6 + -6w + -24 Reorder the terms: -3 + 8 + 9w + -16w = 6 + -6w + -24 Combine like terms: -3 + 8 = 5 5 + 9w + -16w = 6 + -6w + -24 Combine like terms: 9w + -16w = -7w 5 + -7w = 6 + -6w + -24 Reorder the terms: 5 + -7w = 6 + -24 + -6w Combine like terms: 6 + -24 = -18 5 + -7w = -18 + -6w Solving 5 + -7w = -18 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 5 + -7w + 6w = -18 + -6w + 6w Combine like terms: -7w + 6w = -1w 5 + -1w = -18 + -6w + 6w Combine like terms: -6w + 6w = 0 5 + -1w = -18 + 0 5 + -1w = -18 Add '-5' to each side of the equation. 5 + -5 + -1w = -18 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = -18 + -5 -1w = -18 + -5 Combine like terms: -18 + -5 = -23 -1w = -23 Divide each side by '-1'. w = 23 Simplifying w = 23
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