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Simplifying -13 + 5a = 3(a + -3) Reorder the terms: -13 + 5a = 3(-3 + a) -13 + 5a = (-3 * 3 + a * 3) -13 + 5a = (-9 + 3a) Solving -13 + 5a = -9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -13 + 5a + -3a = -9 + 3a + -3a Combine like terms: 5a + -3a = 2a -13 + 2a = -9 + 3a + -3a Combine like terms: 3a + -3a = 0 -13 + 2a = -9 + 0 -13 + 2a = -9 Add '13' to each side of the equation. -13 + 13 + 2a = -9 + 13 Combine like terms: -13 + 13 = 0 0 + 2a = -9 + 13 2a = -9 + 13 Combine like terms: -9 + 13 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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