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Simplifying -27 + -8a = 5(-3a + 7) + -6 Reorder the terms: -27 + -8a = 5(7 + -3a) + -6 -27 + -8a = (7 * 5 + -3a * 5) + -6 -27 + -8a = (35 + -15a) + -6 Reorder the terms: -27 + -8a = 35 + -6 + -15a Combine like terms: 35 + -6 = 29 -27 + -8a = 29 + -15a Solving -27 + -8a = 29 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -27 + -8a + 15a = 29 + -15a + 15a Combine like terms: -8a + 15a = 7a -27 + 7a = 29 + -15a + 15a Combine like terms: -15a + 15a = 0 -27 + 7a = 29 + 0 -27 + 7a = 29 Add '27' to each side of the equation. -27 + 27 + 7a = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 7a = 29 + 27 7a = 29 + 27 Combine like terms: 29 + 27 = 56 7a = 56 Divide each side by '7'. a = 8 Simplifying a = 8
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