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Simplifying -4a + 9 = 2(5a + -24) + -13 Reorder the terms: 9 + -4a = 2(5a + -24) + -13 Reorder the terms: 9 + -4a = 2(-24 + 5a) + -13 9 + -4a = (-24 * 2 + 5a * 2) + -13 9 + -4a = (-48 + 10a) + -13 Reorder the terms: 9 + -4a = -48 + -13 + 10a Combine like terms: -48 + -13 = -61 9 + -4a = -61 + 10a Solving 9 + -4a = -61 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 9 + -4a + -10a = -61 + 10a + -10a Combine like terms: -4a + -10a = -14a 9 + -14a = -61 + 10a + -10a Combine like terms: 10a + -10a = 0 9 + -14a = -61 + 0 9 + -14a = -61 Add '-9' to each side of the equation. 9 + -9 + -14a = -61 + -9 Combine like terms: 9 + -9 = 0 0 + -14a = -61 + -9 -14a = -61 + -9 Combine like terms: -61 + -9 = -70 -14a = -70 Divide each side by '-14'. a = 5 Simplifying a = 5
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