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Simplifying 2(9 + -8) + 7 = 5(a + 2) + -3a + -19 Combine like terms: 9 + -8 = 1 2(1) + 7 = 5(a + 2) + -3a + -19 Multiply 2 * 1 2 + 7 = 5(a + 2) + -3a + -19 Combine like terms: 2 + 7 = 9 9 = 5(a + 2) + -3a + -19 Reorder the terms: 9 = 5(2 + a) + -3a + -19 9 = (2 * 5 + a * 5) + -3a + -19 9 = (10 + 5a) + -3a + -19 Reorder the terms: 9 = 10 + -19 + 5a + -3a Combine like terms: 10 + -19 = -9 9 = -9 + 5a + -3a Combine like terms: 5a + -3a = 2a 9 = -9 + 2a Solving 9 = -9 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 9 + -2a = -9 + 2a + -2a Combine like terms: 2a + -2a = 0 9 + -2a = -9 + 0 9 + -2a = -9 Add '-9' to each side of the equation. 9 + -9 + -2a = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -2a = -9 + -9 -2a = -9 + -9 Combine like terms: -9 + -9 = -18 -2a = -18 Divide each side by '-2'. a = 9 Simplifying a = 9
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