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Simplifying 5(a + 2) + -4a + -19 = 2(a + -8) + 7 Reorder the terms: 5(2 + a) + -4a + -19 = 2(a + -8) + 7 (2 * 5 + a * 5) + -4a + -19 = 2(a + -8) + 7 (10 + 5a) + -4a + -19 = 2(a + -8) + 7 Reorder the terms: 10 + -19 + 5a + -4a = 2(a + -8) + 7 Combine like terms: 10 + -19 = -9 -9 + 5a + -4a = 2(a + -8) + 7 Combine like terms: 5a + -4a = 1a -9 + 1a = 2(a + -8) + 7 Reorder the terms: -9 + 1a = 2(-8 + a) + 7 -9 + 1a = (-8 * 2 + a * 2) + 7 -9 + 1a = (-16 + 2a) + 7 Reorder the terms: -9 + 1a = -16 + 7 + 2a Combine like terms: -16 + 7 = -9 -9 + 1a = -9 + 2a Add '9' to each side of the equation. -9 + 9 + 1a = -9 + 9 + 2a Combine like terms: -9 + 9 = 0 0 + 1a = -9 + 9 + 2a 1a = -9 + 9 + 2a Combine like terms: -9 + 9 = 0 1a = 0 + 2a 1a = 2a Solving 1a = 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. 1a + -2a = 2a + -2a Combine like terms: 1a + -2a = -1a -1a = 2a + -2a Combine like terms: 2a + -2a = 0 -1a = 0 Divide each side by '-1'. a = 0 Simplifying a = 0
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