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Simplifying 2a + -1(7 + 3a) + (3 + -5a) = 0 2a + (7 * -1 + 3a * -1) + (3 + -5a) = 0 2a + (-7 + -3a) + (3 + -5a) = 0 Remove parenthesis around (3 + -5a) 2a + -7 + -3a + 3 + -5a = 0 Reorder the terms: -7 + 3 + 2a + -3a + -5a = 0 Combine like terms: -7 + 3 = -4 -4 + 2a + -3a + -5a = 0 Combine like terms: 2a + -3a = -1a -4 + -1a + -5a = 0 Combine like terms: -1a + -5a = -6a -4 + -6a = 0 Solving -4 + -6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -6a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6a = 0 + 4 -6a = 0 + 4 Combine like terms: 0 + 4 = 4 -6a = 4 Divide each side by '-6'. a = -0.6666666667 Simplifying a = -0.6666666667
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