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Simplifying -5 = -3(12a + 1) + 3(a + -9) Reorder the terms: -5 = -3(1 + 12a) + 3(a + -9) -5 = (1 * -3 + 12a * -3) + 3(a + -9) -5 = (-3 + -36a) + 3(a + -9) Reorder the terms: -5 = -3 + -36a + 3(-9 + a) -5 = -3 + -36a + (-9 * 3 + a * 3) -5 = -3 + -36a + (-27 + 3a) Reorder the terms: -5 = -3 + -27 + -36a + 3a Combine like terms: -3 + -27 = -30 -5 = -30 + -36a + 3a Combine like terms: -36a + 3a = -33a -5 = -30 + -33a Solving -5 = -30 + -33a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '33a' to each side of the equation. -5 + 33a = -30 + -33a + 33a Combine like terms: -33a + 33a = 0 -5 + 33a = -30 + 0 -5 + 33a = -30 Add '5' to each side of the equation. -5 + 5 + 33a = -30 + 5 Combine like terms: -5 + 5 = 0 0 + 33a = -30 + 5 33a = -30 + 5 Combine like terms: -30 + 5 = -25 33a = -25 Divide each side by '33'. a = -0.7575757576 Simplifying a = -0.7575757576
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