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Simplifying -1(4a + -7) + -5a = 10a Reorder the terms: -1(-7 + 4a) + -5a = 10a (-7 * -1 + 4a * -1) + -5a = 10a (7 + -4a) + -5a = 10a Combine like terms: -4a + -5a = -9a 7 + -9a = 10a Solving 7 + -9a = 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 = 10a + -10a Combine like terms: -9a + -10a = -19a 7 + -19a = 10a + -10a Combine like terms: 10a + -10a = 0 7 + -19a = 0 Add '-7' to each side of the equation. 7 + -7 + -19a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -19a = 0 + -7 -19a = 0 + -7 Combine like terms: 0 + -7 = -7 -19a = -7 Divide each side by '-19'. a = 0.3684210526 Simplifying a = 0.3684210526
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