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Simplifying -6(2 + -3a) = -3(-5a + 6) (2 * -6 + -3a * -6) = -3(-5a + 6) (-12 + 18a) = -3(-5a + 6) Reorder the terms: -12 + 18a = -3(6 + -5a) -12 + 18a = (6 * -3 + -5a * -3) -12 + 18a = (-18 + 15a) Solving -12 + 18a = -18 + 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. -12 + 18a + -15a = -18 + 15a + -15a Combine like terms: 18a + -15a = 3a -12 + 3a = -18 + 15a + -15a Combine like terms: 15a + -15a = 0 -12 + 3a = -18 + 0 -12 + 3a = -18 Add '12' to each side of the equation. -12 + 12 + 3a = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = -18 + 12 3a = -18 + 12 Combine like terms: -18 + 12 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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