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Simplifying 14a + 100 = 35a + -68 Reorder the terms: 100 + 14a = 35a + -68 Reorder the terms: 100 + 14a = -68 + 35a Solving 100 + 14a = -68 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 100 + 14a + -35a = -68 + 35a + -35a Combine like terms: 14a + -35a = -21a 100 + -21a = -68 + 35a + -35a Combine like terms: 35a + -35a = 0 100 + -21a = -68 + 0 100 + -21a = -68 Add '-100' to each side of the equation. 100 + -100 + -21a = -68 + -100 Combine like terms: 100 + -100 = 0 0 + -21a = -68 + -100 -21a = -68 + -100 Combine like terms: -68 + -100 = -168 -21a = -168 Divide each side by '-21'. a = 8 Simplifying a = 8
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