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Simplifying 7a + 3a = -1(1 + -7a) + -1(7 + -5a) Combine like terms: 7a + 3a = 10a 10a = -1(1 + -7a) + -1(7 + -5a) 10a = (1 * -1 + -7a * -1) + -1(7 + -5a) 10a = (-1 + 7a) + -1(7 + -5a) 10a = -1 + 7a + (7 * -1 + -5a * -1) 10a = -1 + 7a + (-7 + 5a) Reorder the terms: 10a = -1 + -7 + 7a + 5a Combine like terms: -1 + -7 = -8 10a = -8 + 7a + 5a Combine like terms: 7a + 5a = 12a 10a = -8 + 12a Solving 10a = -8 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 10a + -12a = -8 + 12a + -12a Combine like terms: 10a + -12a = -2a -2a = -8 + 12a + -12a Combine like terms: 12a + -12a = 0 -2a = -8 + 0 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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