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Simplifying 36 + -8a = 3(1 + -6a) + -7 36 + -8a = (1 * 3 + -6a * 3) + -7 36 + -8a = (3 + -18a) + -7 Reorder the terms: 36 + -8a = 3 + -7 + -18a Combine like terms: 3 + -7 = -4 36 + -8a = -4 + -18a Solving 36 + -8a = -4 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. 36 + -8a + 18a = -4 + -18a + 18a Combine like terms: -8a + 18a = 10a 36 + 10a = -4 + -18a + 18a Combine like terms: -18a + 18a = 0 36 + 10a = -4 + 0 36 + 10a = -4 Add '-36' to each side of the equation. 36 + -36 + 10a = -4 + -36 Combine like terms: 36 + -36 = 0 0 + 10a = -4 + -36 10a = -4 + -36 Combine like terms: -4 + -36 = -40 10a = -40 Divide each side by '10'. a = -4 Simplifying a = -4
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