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Simplifying 3(a + -8) + 7 = 5(a + 2) + -3a + -19 Reorder the terms: 3(-8 + a) + 7 = 5(a + 2) + -3a + -19 (-8 * 3 + a * 3) + 7 = 5(a + 2) + -3a + -19 (-24 + 3a) + 7 = 5(a + 2) + -3a + -19 Reorder the terms: -24 + 7 + 3a = 5(a + 2) + -3a + -19 Combine like terms: -24 + 7 = -17 -17 + 3a = 5(a + 2) + -3a + -19 Reorder the terms: -17 + 3a = 5(2 + a) + -3a + -19 -17 + 3a = (2 * 5 + a * 5) + -3a + -19 -17 + 3a = (10 + 5a) + -3a + -19 Reorder the terms: -17 + 3a = 10 + -19 + 5a + -3a Combine like terms: 10 + -19 = -9 -17 + 3a = -9 + 5a + -3a Combine like terms: 5a + -3a = 2a -17 + 3a = -9 + 2a Solving -17 + 3a = -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. -17 + 3a + -2a = -9 + 2a + -2a Combine like terms: 3a + -2a = 1a -17 + 1a = -9 + 2a + -2a Combine like terms: 2a + -2a = 0 -17 + 1a = -9 + 0 -17 + 1a = -9 Add '17' to each side of the equation. -17 + 17 + 1a = -9 + 17 Combine like terms: -17 + 17 = 0 0 + 1a = -9 + 17 1a = -9 + 17 Combine like terms: -9 + 17 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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