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Simplifying -8 + 14a = 7 + -1a Solving -8 + 14a = 7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -8 + 14a + a = 7 + -1a + a Combine like terms: 14a + a = 15a -8 + 15a = 7 + -1a + a Combine like terms: -1a + a = 0 -8 + 15a = 7 + 0 -8 + 15a = 7 Add '8' to each side of the equation. -8 + 8 + 15a = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 15a = 7 + 8 15a = 7 + 8 Combine like terms: 7 + 8 = 15 15a = 15 Divide each side by '15'. a = 1 Simplifying a = 1
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