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Simplifying (5a + -5b + 7) + -1(2a + -5b + -3) = 0 Reorder the terms: (7 + 5a + -5b) + -1(2a + -5b + -3) = 0 Remove parenthesis around (7 + 5a + -5b) 7 + 5a + -5b + -1(2a + -5b + -3) = 0 Reorder the terms: 7 + 5a + -5b + -1(-3 + 2a + -5b) = 0 7 + 5a + -5b + (-3 * -1 + 2a * -1 + -5b * -1) = 0 7 + 5a + -5b + (3 + -2a + 5b) = 0 Reorder the terms: 7 + 3 + 5a + -2a + -5b + 5b = 0 Combine like terms: 7 + 3 = 10 10 + 5a + -2a + -5b + 5b = 0 Combine like terms: 5a + -2a = 3a 10 + 3a + -5b + 5b = 0 Combine like terms: -5b + 5b = 0 10 + 3a + 0 = 0 10 + 3a = 0 Solving 10 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = 0 + -10 3a = 0 + -10 Combine like terms: 0 + -10 = -10 3a = -10 Divide each side by '3'. a = -3.333333333 Simplifying a = -3.333333333
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