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Simplifying 3a + -2[4 + -2(a + -5)] = 5a + -19 Reorder the terms: 3a + -2[4 + -2(-5 + a)] = 5a + -19 3a + -2[4 + (-5 * -2 + a * -2)] = 5a + -19 3a + -2[4 + (10 + -2a)] = 5a + -19 Combine like terms: 4 + 10 = 14 3a + -2[14 + -2a] = 5a + -19 3a + [14 * -2 + -2a * -2] = 5a + -19 3a + [-28 + 4a] = 5a + -19 Reorder the terms: -28 + 3a + 4a = 5a + -19 Combine like terms: 3a + 4a = 7a -28 + 7a = 5a + -19 Reorder the terms: -28 + 7a = -19 + 5a Solving -28 + 7a = -19 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -28 + 7a + -5a = -19 + 5a + -5a Combine like terms: 7a + -5a = 2a -28 + 2a = -19 + 5a + -5a Combine like terms: 5a + -5a = 0 -28 + 2a = -19 + 0 -28 + 2a = -19 Add '28' to each side of the equation. -28 + 28 + 2a = -19 + 28 Combine like terms: -28 + 28 = 0 0 + 2a = -19 + 28 2a = -19 + 28 Combine like terms: -19 + 28 = 9 2a = 9 Divide each side by '2'. a = 4.5 Simplifying a = 4.5
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