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Simplifying -44 = -3(6a + -6) + -5(a + -6) Reorder the terms: -44 = -3(-6 + 6a) + -5(a + -6) -44 = (-6 * -3 + 6a * -3) + -5(a + -6) -44 = (18 + -18a) + -5(a + -6) Reorder the terms: -44 = 18 + -18a + -5(-6 + a) -44 = 18 + -18a + (-6 * -5 + a * -5) -44 = 18 + -18a + (30 + -5a) Reorder the terms: -44 = 18 + 30 + -18a + -5a Combine like terms: 18 + 30 = 48 -44 = 48 + -18a + -5a Combine like terms: -18a + -5a = -23a -44 = 48 + -23a Solving -44 = 48 + -23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23a' to each side of the equation. -44 + 23a = 48 + -23a + 23a Combine like terms: -23a + 23a = 0 -44 + 23a = 48 + 0 -44 + 23a = 48 Add '44' to each side of the equation. -44 + 44 + 23a = 48 + 44 Combine like terms: -44 + 44 = 0 0 + 23a = 48 + 44 23a = 48 + 44 Combine like terms: 48 + 44 = 92 23a = 92 Divide each side by '23'. a = 4 Simplifying a = 4
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