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Simplifying 20 + 4(a + 3) = 2(5a + -8) Reorder the terms: 20 + 4(3 + a) = 2(5a + -8) 20 + (3 * 4 + a * 4) = 2(5a + -8) 20 + (12 + 4a) = 2(5a + -8) Combine like terms: 20 + 12 = 32 32 + 4a = 2(5a + -8) Reorder the terms: 32 + 4a = 2(-8 + 5a) 32 + 4a = (-8 * 2 + 5a * 2) 32 + 4a = (-16 + 10a) Solving 32 + 4a = -16 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 32 + 4a + -10a = -16 + 10a + -10a Combine like terms: 4a + -10a = -6a 32 + -6a = -16 + 10a + -10a Combine like terms: 10a + -10a = 0 32 + -6a = -16 + 0 32 + -6a = -16 Add '-32' to each side of the equation. 32 + -32 + -6a = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -6a = -16 + -32 -6a = -16 + -32 Combine like terms: -16 + -32 = -48 -6a = -48 Divide each side by '-6'. a = 8 Simplifying a = 8
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