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Simplifying 3 + -4a = 5(a + 3) Reorder the terms: 3 + -4a = 5(3 + a) 3 + -4a = (3 * 5 + a * 5) 3 + -4a = (15 + 5a) Solving 3 + -4a = 15 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 3 + -4a + -5a = 15 + 5a + -5a Combine like terms: -4a + -5a = -9a 3 + -9a = 15 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + -9a = 15 + 0 3 + -9a = 15 Add '-3' to each side of the equation. 3 + -3 + -9a = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -9a = 15 + -3 -9a = 15 + -3 Combine like terms: 15 + -3 = 12 -9a = 12 Divide each side by '-9'. a = -1.333333333 Simplifying a = -1.333333333
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