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Simplifying 2(3a + -8) + 7 = 5(a + 2) + -3a + -19 Reorder the terms: 2(-8 + 3a) + 7 = 5(a + 2) + -3a + -19 (-8 * 2 + 3a * 2) + 7 = 5(a + 2) + -3a + -19 (-16 + 6a) + 7 = 5(a + 2) + -3a + -19 Reorder the terms: -16 + 7 + 6a = 5(a + 2) + -3a + -19 Combine like terms: -16 + 7 = -9 -9 + 6a = 5(a + 2) + -3a + -19 Reorder the terms: -9 + 6a = 5(2 + a) + -3a + -19 -9 + 6a = (2 * 5 + a * 5) + -3a + -19 -9 + 6a = (10 + 5a) + -3a + -19 Reorder the terms: -9 + 6a = 10 + -19 + 5a + -3a Combine like terms: 10 + -19 = -9 -9 + 6a = -9 + 5a + -3a Combine like terms: 5a + -3a = 2a -9 + 6a = -9 + 2a Add '9' to each side of the equation. -9 + 9 + 6a = -9 + 9 + 2a Combine like terms: -9 + 9 = 0 0 + 6a = -9 + 9 + 2a 6a = -9 + 9 + 2a Combine like terms: -9 + 9 = 0 6a = 0 + 2a 6a = 2a Solving 6a = 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. 6a + -2a = 2a + -2a Combine like terms: 6a + -2a = 4a 4a = 2a + -2a Combine like terms: 2a + -2a = 0 4a = 0 Divide each side by '4'. a = 0 Simplifying a = 0
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