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Simplifying -27 + 3a = 3(1 + 6a) -27 + 3a = (1 * 3 + 6a * 3) -27 + 3a = (3 + 18a) Solving -27 + 3a = 3 + 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. -27 + 3a + -18a = 3 + 18a + -18a Combine like terms: 3a + -18a = -15a -27 + -15a = 3 + 18a + -18a Combine like terms: 18a + -18a = 0 -27 + -15a = 3 + 0 -27 + -15a = 3 Add '27' to each side of the equation. -27 + 27 + -15a = 3 + 27 Combine like terms: -27 + 27 = 0 0 + -15a = 3 + 27 -15a = 3 + 27 Combine like terms: 3 + 27 = 30 -15a = 30 Divide each side by '-15'. a = -2 Simplifying a = -2
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