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Simplifying 3(-3a + 5) = -4(a + 4) Reorder the terms: 3(5 + -3a) = -4(a + 4) (5 * 3 + -3a * 3) = -4(a + 4) (15 + -9a) = -4(a + 4) Reorder the terms: 15 + -9a = -4(4 + a) 15 + -9a = (4 * -4 + a * -4) 15 + -9a = (-16 + -4a) Solving 15 + -9a = -16 + -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. 15 + -9a + 4a = -16 + -4a + 4a Combine like terms: -9a + 4a = -5a 15 + -5a = -16 + -4a + 4a Combine like terms: -4a + 4a = 0 15 + -5a = -16 + 0 15 + -5a = -16 Add '-15' to each side of the equation. 15 + -15 + -5a = -16 + -15 Combine like terms: 15 + -15 = 0 0 + -5a = -16 + -15 -5a = -16 + -15 Combine like terms: -16 + -15 = -31 -5a = -31 Divide each side by '-5'. a = 6.2 Simplifying a = 6.2
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