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Simplifying -4(3 + -5a) = 15a + 28 (3 * -4 + -5a * -4) = 15a + 28 (-12 + 20a) = 15a + 28 Reorder the terms: -12 + 20a = 28 + 15a Solving -12 + 20a = 28 + 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 + 20a + -15a = 28 + 15a + -15a Combine like terms: 20a + -15a = 5a -12 + 5a = 28 + 15a + -15a Combine like terms: 15a + -15a = 0 -12 + 5a = 28 + 0 -12 + 5a = 28 Add '12' to each side of the equation. -12 + 12 + 5a = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 5a = 28 + 12 5a = 28 + 12 Combine like terms: 28 + 12 = 40 5a = 40 Divide each side by '5'. a = 8 Simplifying a = 8
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