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Simplifying -12 = 7(2a + -3) + -1(8a + -9) Reorder the terms: -12 = 7(-3 + 2a) + -1(8a + -9) -12 = (-3 * 7 + 2a * 7) + -1(8a + -9) -12 = (-21 + 14a) + -1(8a + -9) Reorder the terms: -12 = -21 + 14a + -1(-9 + 8a) -12 = -21 + 14a + (-9 * -1 + 8a * -1) -12 = -21 + 14a + (9 + -8a) Reorder the terms: -12 = -21 + 9 + 14a + -8a Combine like terms: -21 + 9 = -12 -12 = -12 + 14a + -8a Combine like terms: 14a + -8a = 6a -12 = -12 + 6a Add '12' to each side of the equation. -12 + 12 = -12 + 12 + 6a Combine like terms: -12 + 12 = 0 0 = -12 + 12 + 6a Combine like terms: -12 + 12 = 0 0 = 0 + 6a 0 = 6a Solving 0 = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 0 + -6a = 6a + -6a Remove the zero: -6a = 6a + -6a Combine like terms: 6a + -6a = 0 -6a = 0 Divide each side by '-6'. a = 0 Simplifying a = 0
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