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Simplifying (-4a + 7 + -5a) = (10 + 10a) Reorder the terms: (7 + -4a + -5a) = (10 + 10a) Combine like terms: -4a + -5a = -9a (7 + -9a) = (10 + 10a) Remove parenthesis around (7 + -9a) 7 + -9a = (10 + 10a) Remove parenthesis around (10 + 10a) 7 + -9a = 10 + 10a Solving 7 + -9a = 10 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 7 + -9a + -10a = 10 + 10a + -10a Combine like terms: -9a + -10a = -19a 7 + -19a = 10 + 10a + -10a Combine like terms: 10a + -10a = 0 7 + -19a = 10 + 0 7 + -19a = 10 Add '-7' to each side of the equation. 7 + -7 + -19a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -19a = 10 + -7 -19a = 10 + -7 Combine like terms: 10 + -7 = 3 -19a = 3 Divide each side by '-19'. a = -0.1578947368 Simplifying a = -0.1578947368
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