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Simplifying 9 + 2(5w + -4) = -3(5w + -3) + 9w Reorder the terms: 9 + 2(-4 + 5w) = -3(5w + -3) + 9w 9 + (-4 * 2 + 5w * 2) = -3(5w + -3) + 9w 9 + (-8 + 10w) = -3(5w + -3) + 9w Combine like terms: 9 + -8 = 1 1 + 10w = -3(5w + -3) + 9w Reorder the terms: 1 + 10w = -3(-3 + 5w) + 9w 1 + 10w = (-3 * -3 + 5w * -3) + 9w 1 + 10w = (9 + -15w) + 9w Combine like terms: -15w + 9w = -6w 1 + 10w = 9 + -6w Solving 1 + 10w = 9 + -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. 1 + 10w + 6w = 9 + -6w + 6w Combine like terms: 10w + 6w = 16w 1 + 16w = 9 + -6w + 6w Combine like terms: -6w + 6w = 0 1 + 16w = 9 + 0 1 + 16w = 9 Add '-1' to each side of the equation. 1 + -1 + 16w = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 16w = 9 + -1 16w = 9 + -1 Combine like terms: 9 + -1 = 8 16w = 8 Divide each side by '16'. w = 0.5 Simplifying w = 0.5
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