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Simplifying -7a + 3 + -8a = 3(7 + 2a) + -3(6a + -6) Reorder the terms: 3 + -7a + -8a = 3(7 + 2a) + -3(6a + -6) Combine like terms: -7a + -8a = -15a 3 + -15a = 3(7 + 2a) + -3(6a + -6) 3 + -15a = (7 * 3 + 2a * 3) + -3(6a + -6) 3 + -15a = (21 + 6a) + -3(6a + -6) Reorder the terms: 3 + -15a = 21 + 6a + -3(-6 + 6a) 3 + -15a = 21 + 6a + (-6 * -3 + 6a * -3) 3 + -15a = 21 + 6a + (18 + -18a) Reorder the terms: 3 + -15a = 21 + 18 + 6a + -18a Combine like terms: 21 + 18 = 39 3 + -15a = 39 + 6a + -18a Combine like terms: 6a + -18a = -12a 3 + -15a = 39 + -12a Solving 3 + -15a = 39 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 3 + -15a + 12a = 39 + -12a + 12a Combine like terms: -15a + 12a = -3a 3 + -3a = 39 + -12a + 12a Combine like terms: -12a + 12a = 0 3 + -3a = 39 + 0 3 + -3a = 39 Add '-3' to each side of the equation. 3 + -3 + -3a = 39 + -3 Combine like terms: 3 + -3 = 0 0 + -3a = 39 + -3 -3a = 39 + -3 Combine like terms: 39 + -3 = 36 -3a = 36 Divide each side by '-3'. a = -12 Simplifying a = -12
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