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Simplifying 5(2a + 3) = 2(a + -3) + 3a Reorder the terms: 5(3 + 2a) = 2(a + -3) + 3a (3 * 5 + 2a * 5) = 2(a + -3) + 3a (15 + 10a) = 2(a + -3) + 3a Reorder the terms: 15 + 10a = 2(-3 + a) + 3a 15 + 10a = (-3 * 2 + a * 2) + 3a 15 + 10a = (-6 + 2a) + 3a Combine like terms: 2a + 3a = 5a 15 + 10a = -6 + 5a Solving 15 + 10a = -6 + 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. 15 + 10a + -5a = -6 + 5a + -5a Combine like terms: 10a + -5a = 5a 15 + 5a = -6 + 5a + -5a Combine like terms: 5a + -5a = 0 15 + 5a = -6 + 0 15 + 5a = -6 Add '-15' to each side of the equation. 15 + -15 + 5a = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 5a = -6 + -15 5a = -6 + -15 Combine like terms: -6 + -15 = -21 5a = -21 Divide each side by '5'. a = -4.2 Simplifying a = -4.2
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