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Simplifying -28 = 4(5 + -2a) + -2(3 + 3a) -28 = (5 * 4 + -2a * 4) + -2(3 + 3a) -28 = (20 + -8a) + -2(3 + 3a) -28 = 20 + -8a + (3 * -2 + 3a * -2) -28 = 20 + -8a + (-6 + -6a) Reorder the terms: -28 = 20 + -6 + -8a + -6a Combine like terms: 20 + -6 = 14 -28 = 14 + -8a + -6a Combine like terms: -8a + -6a = -14a -28 = 14 + -14a Solving -28 = 14 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -28 + 14a = 14 + -14a + 14a Combine like terms: -14a + 14a = 0 -28 + 14a = 14 + 0 -28 + 14a = 14 Add '28' to each side of the equation. -28 + 28 + 14a = 14 + 28 Combine like terms: -28 + 28 = 0 0 + 14a = 14 + 28 14a = 14 + 28 Combine like terms: 14 + 28 = 42 14a = 42 Divide each side by '14'. a = 3 Simplifying a = 3
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