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Simplifying 32 = 3(a + 4) + -7a Reorder the terms: 32 = 3(4 + a) + -7a 32 = (4 * 3 + a * 3) + -7a 32 = (12 + 3a) + -7a Combine like terms: 3a + -7a = -4a 32 = 12 + -4a Solving 32 = 12 + -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 = 12 + -4a + 4a Combine like terms: -4a + 4a = 0 32 + 4a = 12 + 0 32 + 4a = 12 Add '-32' to each side of the equation. 32 + -32 + 4a = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 4a = 12 + -32 4a = 12 + -32 Combine like terms: 12 + -32 = -20 4a = -20 Divide each side by '4'. a = -5 Simplifying a = -5
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