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Simplifying 4a + -8(4a + -3) = -2(-3a + 5) Reorder the terms: 4a + -8(-3 + 4a) = -2(-3a + 5) 4a + (-3 * -8 + 4a * -8) = -2(-3a + 5) 4a + (24 + -32a) = -2(-3a + 5) Reorder the terms: 24 + 4a + -32a = -2(-3a + 5) Combine like terms: 4a + -32a = -28a 24 + -28a = -2(-3a + 5) Reorder the terms: 24 + -28a = -2(5 + -3a) 24 + -28a = (5 * -2 + -3a * -2) 24 + -28a = (-10 + 6a) Solving 24 + -28a = -10 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 24 + -28a + -6a = -10 + 6a + -6a Combine like terms: -28a + -6a = -34a 24 + -34a = -10 + 6a + -6a Combine like terms: 6a + -6a = 0 24 + -34a = -10 + 0 24 + -34a = -10 Add '-24' to each side of the equation. 24 + -24 + -34a = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -34a = -10 + -24 -34a = -10 + -24 Combine like terms: -10 + -24 = -34 -34a = -34 Divide each side by '-34'. a = 1 Simplifying a = 1
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