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Simplifying 4(3 + 5a) + -4 = 3 + 2(a + -2) (3 * 4 + 5a * 4) + -4 = 3 + 2(a + -2) (12 + 20a) + -4 = 3 + 2(a + -2) Reorder the terms: 12 + -4 + 20a = 3 + 2(a + -2) Combine like terms: 12 + -4 = 8 8 + 20a = 3 + 2(a + -2) Reorder the terms: 8 + 20a = 3 + 2(-2 + a) 8 + 20a = 3 + (-2 * 2 + a * 2) 8 + 20a = 3 + (-4 + 2a) Combine like terms: 3 + -4 = -1 8 + 20a = -1 + 2a Solving 8 + 20a = -1 + 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. 8 + 20a + -2a = -1 + 2a + -2a Combine like terms: 20a + -2a = 18a 8 + 18a = -1 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + 18a = -1 + 0 8 + 18a = -1 Add '-8' to each side of the equation. 8 + -8 + 18a = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 18a = -1 + -8 18a = -1 + -8 Combine like terms: -1 + -8 = -9 18a = -9 Divide each side by '18'. a = -0.5 Simplifying a = -0.5
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