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Simplifying 9(2 + -2a) = 8(6 + 9a) + -12a (2 * 9 + -2a * 9) = 8(6 + 9a) + -12a (18 + -18a) = 8(6 + 9a) + -12a 18 + -18a = (6 * 8 + 9a * 8) + -12a 18 + -18a = (48 + 72a) + -12a Combine like terms: 72a + -12a = 60a 18 + -18a = 48 + 60a Solving 18 + -18a = 48 + 60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60a' to each side of the equation. 18 + -18a + -60a = 48 + 60a + -60a Combine like terms: -18a + -60a = -78a 18 + -78a = 48 + 60a + -60a Combine like terms: 60a + -60a = 0 18 + -78a = 48 + 0 18 + -78a = 48 Add '-18' to each side of the equation. 18 + -18 + -78a = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -78a = 48 + -18 -78a = 48 + -18 Combine like terms: 48 + -18 = 30 -78a = 30 Divide each side by '-78'. a = -0.3846153846 Simplifying a = -0.3846153846
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