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Simplifying 3a + (2a + -7) + -1(a + -1) = 0 Reorder the terms: 3a + (-7 + 2a) + -1(a + -1) = 0 Remove parenthesis around (-7 + 2a) 3a + -7 + 2a + -1(a + -1) = 0 Reorder the terms: 3a + -7 + 2a + -1(-1 + a) = 0 3a + -7 + 2a + (-1 * -1 + a * -1) = 0 3a + -7 + 2a + (1 + -1a) = 0 Reorder the terms: -7 + 1 + 3a + 2a + -1a = 0 Combine like terms: -7 + 1 = -6 -6 + 3a + 2a + -1a = 0 Combine like terms: 3a + 2a = 5a -6 + 5a + -1a = 0 Combine like terms: 5a + -1a = 4a -6 + 4a = 0 Solving -6 + 4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = 0 + 6 4a = 0 + 6 Combine like terms: 0 + 6 = 6 4a = 6 Divide each side by '4'. a = 1.5 Simplifying a = 1.5
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