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Simplifying -5a + 3(7a + 3) = a + -36 Reorder the terms: -5a + 3(3 + 7a) = a + -36 -5a + (3 * 3 + 7a * 3) = a + -36 -5a + (9 + 21a) = a + -36 Reorder the terms: 9 + -5a + 21a = a + -36 Combine like terms: -5a + 21a = 16a 9 + 16a = a + -36 Reorder the terms: 9 + 16a = -36 + a Solving 9 + 16a = -36 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 9 + 16a + -1a = -36 + a + -1a Combine like terms: 16a + -1a = 15a 9 + 15a = -36 + a + -1a Combine like terms: a + -1a = 0 9 + 15a = -36 + 0 9 + 15a = -36 Add '-9' to each side of the equation. 9 + -9 + 15a = -36 + -9 Combine like terms: 9 + -9 = 0 0 + 15a = -36 + -9 15a = -36 + -9 Combine like terms: -36 + -9 = -45 15a = -45 Divide each side by '15'. a = -3 Simplifying a = -3
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