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Simplifying 36 + -8a = -5(a + -6) + -5a Reorder the terms: 36 + -8a = -5(-6 + a) + -5a 36 + -8a = (-6 * -5 + a * -5) + -5a 36 + -8a = (30 + -5a) + -5a Combine like terms: -5a + -5a = -10a 36 + -8a = 30 + -10a Solving 36 + -8a = 30 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 36 + -8a + 10a = 30 + -10a + 10a Combine like terms: -8a + 10a = 2a 36 + 2a = 30 + -10a + 10a Combine like terms: -10a + 10a = 0 36 + 2a = 30 + 0 36 + 2a = 30 Add '-36' to each side of the equation. 36 + -36 + 2a = 30 + -36 Combine like terms: 36 + -36 = 0 0 + 2a = 30 + -36 2a = 30 + -36 Combine like terms: 30 + -36 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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