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Simplifying -1(2a + 13) + (-9a + -2) + -1(7a + -3) = 0 Reorder the terms: -1(13 + 2a) + (-9a + -2) + -1(7a + -3) = 0 (13 * -1 + 2a * -1) + (-9a + -2) + -1(7a + -3) = 0 (-13 + -2a) + (-9a + -2) + -1(7a + -3) = 0 Reorder the terms: -13 + -2a + (-2 + -9a) + -1(7a + -3) = 0 Remove parenthesis around (-2 + -9a) -13 + -2a + -2 + -9a + -1(7a + -3) = 0 Reorder the terms: -13 + -2a + -2 + -9a + -1(-3 + 7a) = 0 -13 + -2a + -2 + -9a + (-3 * -1 + 7a * -1) = 0 -13 + -2a + -2 + -9a + (3 + -7a) = 0 Reorder the terms: -13 + -2 + 3 + -2a + -9a + -7a = 0 Combine like terms: -13 + -2 = -15 -15 + 3 + -2a + -9a + -7a = 0 Combine like terms: -15 + 3 = -12 -12 + -2a + -9a + -7a = 0 Combine like terms: -2a + -9a = -11a -12 + -11a + -7a = 0 Combine like terms: -11a + -7a = -18a -12 + -18a = 0 Solving -12 + -18a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -18a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -18a = 0 + 12 -18a = 0 + 12 Combine like terms: 0 + 12 = 12 -18a = 12 Divide each side by '-18'. a = -0.6666666667 Simplifying a = -0.6666666667
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