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Simplifying 9(a + 10) = 7[a + -1(4 + -1a)] Reorder the terms: 9(10 + a) = 7[a + -1(4 + -1a)] (10 * 9 + a * 9) = 7[a + -1(4 + -1a)] (90 + 9a) = 7[a + -1(4 + -1a)] 90 + 9a = 7[a + (4 * -1 + -1a * -1)] 90 + 9a = 7[a + (-4 + 1a)] Reorder the terms: 90 + 9a = 7[-4 + a + 1a] Combine like terms: a + 1a = 2a 90 + 9a = 7[-4 + 2a] 90 + 9a = [-4 * 7 + 2a * 7] 90 + 9a = [-28 + 14a] Solving 90 + 9a = -28 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 90 + 9a + -14a = -28 + 14a + -14a Combine like terms: 9a + -14a = -5a 90 + -5a = -28 + 14a + -14a Combine like terms: 14a + -14a = 0 90 + -5a = -28 + 0 90 + -5a = -28 Add '-90' to each side of the equation. 90 + -90 + -5a = -28 + -90 Combine like terms: 90 + -90 = 0 0 + -5a = -28 + -90 -5a = -28 + -90 Combine like terms: -28 + -90 = -118 -5a = -118 Divide each side by '-5'. a = 23.6 Simplifying a = 23.6
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