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Simplifying -2a + -27 = -5(4a + -3) + 4a Reorder the terms: -27 + -2a = -5(4a + -3) + 4a Reorder the terms: -27 + -2a = -5(-3 + 4a) + 4a -27 + -2a = (-3 * -5 + 4a * -5) + 4a -27 + -2a = (15 + -20a) + 4a Combine like terms: -20a + 4a = -16a -27 + -2a = 15 + -16a Solving -27 + -2a = 15 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -27 + -2a + 16a = 15 + -16a + 16a Combine like terms: -2a + 16a = 14a -27 + 14a = 15 + -16a + 16a Combine like terms: -16a + 16a = 0 -27 + 14a = 15 + 0 -27 + 14a = 15 Add '27' to each side of the equation. -27 + 27 + 14a = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 14a = 15 + 27 14a = 15 + 27 Combine like terms: 15 + 27 = 42 14a = 42 Divide each side by '14'. a = 3 Simplifying a = 3
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