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Simplifying 5a + -14 = 9a + -5 Reorder the terms: -14 + 5a = 9a + -5 Reorder the terms: -14 + 5a = -5 + 9a Solving -14 + 5a = -5 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -14 + 5a + -9a = -5 + 9a + -9a Combine like terms: 5a + -9a = -4a -14 + -4a = -5 + 9a + -9a Combine like terms: 9a + -9a = 0 -14 + -4a = -5 + 0 -14 + -4a = -5 Add '14' to each side of the equation. -14 + 14 + -4a = -5 + 14 Combine like terms: -14 + 14 = 0 0 + -4a = -5 + 14 -4a = -5 + 14 Combine like terms: -5 + 14 = 9 -4a = 9 Divide each side by '-4'. a = -2.25 Simplifying a = -2.25
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