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Simplifying 15(a + 4) + -15 = 7(2a + 8) Reorder the terms: 15(4 + a) + -15 = 7(2a + 8) (4 * 15 + a * 15) + -15 = 7(2a + 8) (60 + 15a) + -15 = 7(2a + 8) Reorder the terms: 60 + -15 + 15a = 7(2a + 8) Combine like terms: 60 + -15 = 45 45 + 15a = 7(2a + 8) Reorder the terms: 45 + 15a = 7(8 + 2a) 45 + 15a = (8 * 7 + 2a * 7) 45 + 15a = (56 + 14a) Solving 45 + 15a = 56 + 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. 45 + 15a + -14a = 56 + 14a + -14a Combine like terms: 15a + -14a = 1a 45 + 1a = 56 + 14a + -14a Combine like terms: 14a + -14a = 0 45 + 1a = 56 + 0 45 + 1a = 56 Add '-45' to each side of the equation. 45 + -45 + 1a = 56 + -45 Combine like terms: 45 + -45 = 0 0 + 1a = 56 + -45 1a = 56 + -45 Combine like terms: 56 + -45 = 11 1a = 11 Divide each side by '1'. a = 11 Simplifying a = 11
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