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Simplifying -1(4a + -7) + -5a = 10 + 1a Reorder the terms: -1(-7 + 4a) + -5a = 10 + 1a (-7 * -1 + 4a * -1) + -5a = 10 + 1a (7 + -4a) + -5a = 10 + 1a Combine like terms: -4a + -5a = -9a 7 + -9a = 10 + 1a Solving 7 + -9a = 10 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + -9a + -1a = 10 + 1a + -1a Combine like terms: -9a + -1a = -10a 7 + -10a = 10 + 1a + -1a Combine like terms: 1a + -1a = 0 7 + -10a = 10 + 0 7 + -10a = 10 Add '-7' to each side of the equation. 7 + -7 + -10a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -10a = 10 + -7 -10a = 10 + -7 Combine like terms: 10 + -7 = 3 -10a = 3 Divide each side by '-10'. a = -0.3 Simplifying a = -0.3
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