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Simplifying 10a + -5 + 3a = 8 + -1a Reorder the terms: -5 + 10a + 3a = 8 + -1a Combine like terms: 10a + 3a = 13a -5 + 13a = 8 + -1a Solving -5 + 13a = 8 + -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. -5 + 13a + a = 8 + -1a + a Combine like terms: 13a + a = 14a -5 + 14a = 8 + -1a + a Combine like terms: -1a + a = 0 -5 + 14a = 8 + 0 -5 + 14a = 8 Add '5' to each side of the equation. -5 + 5 + 14a = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 14a = 8 + 5 14a = 8 + 5 Combine like terms: 8 + 5 = 13 14a = 13 Divide each side by '14'. a = 0.9285714286 Simplifying a = 0.9285714286
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