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Simplifying 7a + 10 + -5a = 46a + -14a Reorder the terms: 10 + 7a + -5a = 46a + -14a Combine like terms: 7a + -5a = 2a 10 + 2a = 46a + -14a Combine like terms: 46a + -14a = 32a 10 + 2a = 32a Solving 10 + 2a = 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 10 + 2a + -32a = 32a + -32a Combine like terms: 2a + -32a = -30a 10 + -30a = 32a + -32a Combine like terms: 32a + -32a = 0 10 + -30a = 0 Add '-10' to each side of the equation. 10 + -10 + -30a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -30a = 0 + -10 -30a = 0 + -10 Combine like terms: 0 + -10 = -10 -30a = -10 Divide each side by '-30'. a = 0.3333333333 Simplifying a = 0.3333333333
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