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Simplifying 8a + -9 = 3 + -7(a + 6) Reorder the terms: -9 + 8a = 3 + -7(a + 6) Reorder the terms: -9 + 8a = 3 + -7(6 + a) -9 + 8a = 3 + (6 * -7 + a * -7) -9 + 8a = 3 + (-42 + -7a) Combine like terms: 3 + -42 = -39 -9 + 8a = -39 + -7a Solving -9 + 8a = -39 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -9 + 8a + 7a = -39 + -7a + 7a Combine like terms: 8a + 7a = 15a -9 + 15a = -39 + -7a + 7a Combine like terms: -7a + 7a = 0 -9 + 15a = -39 + 0 -9 + 15a = -39 Add '9' to each side of the equation. -9 + 9 + 15a = -39 + 9 Combine like terms: -9 + 9 = 0 0 + 15a = -39 + 9 15a = -39 + 9 Combine like terms: -39 + 9 = -30 15a = -30 Divide each side by '15'. a = -2 Simplifying a = -2
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