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Simplifying 9(2 + a) + -4w = 3w + -10 (2 * 9 + a * 9) + -4w = 3w + -10 (18 + 9a) + -4w = 3w + -10 Reorder the terms: 18 + 9a + -4w = -10 + 3w Solving 18 + 9a + -4w = -10 + 3w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 9a + -18 + -4w = -10 + -18 + 3w Reorder the terms: 18 + -18 + 9a + -4w = -10 + -18 + 3w Combine like terms: 18 + -18 = 0 0 + 9a + -4w = -10 + -18 + 3w 9a + -4w = -10 + -18 + 3w Combine like terms: -10 + -18 = -28 9a + -4w = -28 + 3w Add '4w' to each side of the equation. 9a + -4w + 4w = -28 + 3w + 4w Combine like terms: -4w + 4w = 0 9a + 0 = -28 + 3w + 4w 9a = -28 + 3w + 4w Combine like terms: 3w + 4w = 7w 9a = -28 + 7w Divide each side by '9'. a = -3.111111111 + 0.7777777778w Simplifying a = -3.111111111 + 0.7777777778w
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