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Simplifying 10a + 12(-3 + -3a) = -2(11a + -8) 10a + (-3 * 12 + -3a * 12) = -2(11a + -8) 10a + (-36 + -36a) = -2(11a + -8) Reorder the terms: -36 + 10a + -36a = -2(11a + -8) Combine like terms: 10a + -36a = -26a -36 + -26a = -2(11a + -8) Reorder the terms: -36 + -26a = -2(-8 + 11a) -36 + -26a = (-8 * -2 + 11a * -2) -36 + -26a = (16 + -22a) Solving -36 + -26a = 16 + -22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22a' to each side of the equation. -36 + -26a + 22a = 16 + -22a + 22a Combine like terms: -26a + 22a = -4a -36 + -4a = 16 + -22a + 22a Combine like terms: -22a + 22a = 0 -36 + -4a = 16 + 0 -36 + -4a = 16 Add '36' to each side of the equation. -36 + 36 + -4a = 16 + 36 Combine like terms: -36 + 36 = 0 0 + -4a = 16 + 36 -4a = 16 + 36 Combine like terms: 16 + 36 = 52 -4a = 52 Divide each side by '-4'. a = -13 Simplifying a = -13
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