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Simplifying -32 = 3(5a + 4) Reorder the terms: -32 = 3(4 + 5a) -32 = (4 * 3 + 5a * 3) -32 = (12 + 15a) Solving -32 = 12 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -32 + -15a = 12 + 15a + -15a Combine like terms: 15a + -15a = 0 -32 + -15a = 12 + 0 -32 + -15a = 12 Add '32' to each side of the equation. -32 + 32 + -15a = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -15a = 12 + 32 -15a = 12 + 32 Combine like terms: 12 + 32 = 44 -15a = 44 Divide each side by '-15'. a = -2.933333333 Simplifying a = -2.933333333
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