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Simplifying 10a + 16 = -5a + -14 Reorder the terms: 16 + 10a = -5a + -14 Reorder the terms: 16 + 10a = -14 + -5a Solving 16 + 10a = -14 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 16 + 10a + 5a = -14 + -5a + 5a Combine like terms: 10a + 5a = 15a 16 + 15a = -14 + -5a + 5a Combine like terms: -5a + 5a = 0 16 + 15a = -14 + 0 16 + 15a = -14 Add '-16' to each side of the equation. 16 + -16 + 15a = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 15a = -14 + -16 15a = -14 + -16 Combine like terms: -14 + -16 = -30 15a = -30 Divide each side by '15'. a = -2 Simplifying a = -2
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