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Simplifying -1a + -15 = 4(9 + -12a) + -4a Reorder the terms: -15 + -1a = 4(9 + -12a) + -4a -15 + -1a = (9 * 4 + -12a * 4) + -4a -15 + -1a = (36 + -48a) + -4a Combine like terms: -48a + -4a = -52a -15 + -1a = 36 + -52a Solving -15 + -1a = 36 + -52a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '52a' to each side of the equation. -15 + -1a + 52a = 36 + -52a + 52a Combine like terms: -1a + 52a = 51a -15 + 51a = 36 + -52a + 52a Combine like terms: -52a + 52a = 0 -15 + 51a = 36 + 0 -15 + 51a = 36 Add '15' to each side of the equation. -15 + 15 + 51a = 36 + 15 Combine like terms: -15 + 15 = 0 0 + 51a = 36 + 15 51a = 36 + 15 Combine like terms: 36 + 15 = 51 51a = 51 Divide each side by '51'. a = 1 Simplifying a = 1
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