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Simplifying 13 + 5(a + -5) = 15 + -4a Reorder the terms: 13 + 5(-5 + a) = 15 + -4a 13 + (-5 * 5 + a * 5) = 15 + -4a 13 + (-25 + 5a) = 15 + -4a Combine like terms: 13 + -25 = -12 -12 + 5a = 15 + -4a Solving -12 + 5a = 15 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -12 + 5a + 4a = 15 + -4a + 4a Combine like terms: 5a + 4a = 9a -12 + 9a = 15 + -4a + 4a Combine like terms: -4a + 4a = 0 -12 + 9a = 15 + 0 -12 + 9a = 15 Add '12' to each side of the equation. -12 + 12 + 9a = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 9a = 15 + 12 9a = 15 + 12 Combine like terms: 15 + 12 = 27 9a = 27 Divide each side by '9'. a = 3 Simplifying a = 3
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