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Simplifying -1(2a + -7) + -5a = 10 + a Reorder the terms: -1(-7 + 2a) + -5a = 10 + a (-7 * -1 + 2a * -1) + -5a = 10 + a (7 + -2a) + -5a = 10 + a Combine like terms: -2a + -5a = -7a 7 + -7a = 10 + a Solving 7 + -7a = 10 + a 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 + -7a + -1a = 10 + a + -1a Combine like terms: -7a + -1a = -8a 7 + -8a = 10 + a + -1a Combine like terms: a + -1a = 0 7 + -8a = 10 + 0 7 + -8a = 10 Add '-7' to each side of the equation. 7 + -7 + -8a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -8a = 10 + -7 -8a = 10 + -7 Combine like terms: 10 + -7 = 3 -8a = 3 Divide each side by '-8'. a = -0.375 Simplifying a = -0.375
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