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Simplifying 5(a + 3) = (3 * 1) + -2a Reorder the terms: 5(3 + a) = (3 * 1) + -2a (3 * 5 + a * 5) = (3 * 1) + -2a (15 + 5a) = (3 * 1) + -2a Multiply 3 * 1 15 + 5a = (3) + -2a 15 + 5a = 3 + -2a Solving 15 + 5a = 3 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 15 + 5a + 2a = 3 + -2a + 2a Combine like terms: 5a + 2a = 7a 15 + 7a = 3 + -2a + 2a Combine like terms: -2a + 2a = 0 15 + 7a = 3 + 0 15 + 7a = 3 Add '-15' to each side of the equation. 15 + -15 + 7a = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 7a = 3 + -15 7a = 3 + -15 Combine like terms: 3 + -15 = -12 7a = -12 Divide each side by '7'. a = -1.714285714 Simplifying a = -1.714285714
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