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Simplifying 32 = 4(1 + -3a) + 8a 32 = (1 * 4 + -3a * 4) + 8a 32 = (4 + -12a) + 8a Combine like terms: -12a + 8a = -4a 32 = 4 + -4a Solving 32 = 4 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 32 + 4a = 4 + -4a + 4a Combine like terms: -4a + 4a = 0 32 + 4a = 4 + 0 32 + 4a = 4 Add '-32' to each side of the equation. 32 + -32 + 4a = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 4a = 4 + -32 4a = 4 + -32 Combine like terms: 4 + -32 = -28 4a = -28 Divide each side by '4'. a = -7 Simplifying a = -7
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