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Simplifying 114 + -8a + 13a = 14 + -3a + 70a Combine like terms: -8a + 13a = 5a 114 + 5a = 14 + -3a + 70a Combine like terms: -3a + 70a = 67a 114 + 5a = 14 + 67a Solving 114 + 5a = 14 + 67a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-67a' to each side of the equation. 114 + 5a + -67a = 14 + 67a + -67a Combine like terms: 5a + -67a = -62a 114 + -62a = 14 + 67a + -67a Combine like terms: 67a + -67a = 0 114 + -62a = 14 + 0 114 + -62a = 14 Add '-114' to each side of the equation. 114 + -114 + -62a = 14 + -114 Combine like terms: 114 + -114 = 0 0 + -62a = 14 + -114 -62a = 14 + -114 Combine like terms: 14 + -114 = -100 -62a = -100 Divide each side by '-62'. a = 1.612903226 Simplifying a = 1.612903226
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