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Simplifying 4a + 24 = 14a + -86 Reorder the terms: 24 + 4a = 14a + -86 Reorder the terms: 24 + 4a = -86 + 14a Solving 24 + 4a = -86 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 24 + 4a + -14a = -86 + 14a + -14a Combine like terms: 4a + -14a = -10a 24 + -10a = -86 + 14a + -14a Combine like terms: 14a + -14a = 0 24 + -10a = -86 + 0 24 + -10a = -86 Add '-24' to each side of the equation. 24 + -24 + -10a = -86 + -24 Combine like terms: 24 + -24 = 0 0 + -10a = -86 + -24 -10a = -86 + -24 Combine like terms: -86 + -24 = -110 -10a = -110 Divide each side by '-10'. a = 11 Simplifying a = 11
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