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Simplifying 5(3a + -2) = 5(a + 4) Reorder the terms: 5(-2 + 3a) = 5(a + 4) (-2 * 5 + 3a * 5) = 5(a + 4) (-10 + 15a) = 5(a + 4) Reorder the terms: -10 + 15a = 5(4 + a) -10 + 15a = (4 * 5 + a * 5) -10 + 15a = (20 + 5a) Solving -10 + 15a = 20 + 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. -10 + 15a + -5a = 20 + 5a + -5a Combine like terms: 15a + -5a = 10a -10 + 10a = 20 + 5a + -5a Combine like terms: 5a + -5a = 0 -10 + 10a = 20 + 0 -10 + 10a = 20 Add '10' to each side of the equation. -10 + 10 + 10a = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10a = 20 + 10 10a = 20 + 10 Combine like terms: 20 + 10 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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