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Simplifying 3a + -2(2a + -5) = 2(a + 3) + -8 Reorder the terms: 3a + -2(-5 + 2a) = 2(a + 3) + -8 3a + (-5 * -2 + 2a * -2) = 2(a + 3) + -8 3a + (10 + -4a) = 2(a + 3) + -8 Reorder the terms: 10 + 3a + -4a = 2(a + 3) + -8 Combine like terms: 3a + -4a = -1a 10 + -1a = 2(a + 3) + -8 Reorder the terms: 10 + -1a = 2(3 + a) + -8 10 + -1a = (3 * 2 + a * 2) + -8 10 + -1a = (6 + 2a) + -8 Reorder the terms: 10 + -1a = 6 + -8 + 2a Combine like terms: 6 + -8 = -2 10 + -1a = -2 + 2a Solving 10 + -1a = -2 + 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. 10 + -1a + -2a = -2 + 2a + -2a Combine like terms: -1a + -2a = -3a 10 + -3a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 10 + -3a = -2 + 0 10 + -3a = -2 Add '-10' to each side of the equation. 10 + -10 + -3a = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = -2 + -10 -3a = -2 + -10 Combine like terms: -2 + -10 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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