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Simplifying -6a + -20 = -2a + 4(1 + -3a) Reorder the terms: -20 + -6a = -2a + 4(1 + -3a) -20 + -6a = -2a + (1 * 4 + -3a * 4) -20 + -6a = -2a + (4 + -12a) Reorder the terms: -20 + -6a = 4 + -2a + -12a Combine like terms: -2a + -12a = -14a -20 + -6a = 4 + -14a Solving -20 + -6a = 4 + -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. -20 + -6a + 14a = 4 + -14a + 14a Combine like terms: -6a + 14a = 8a -20 + 8a = 4 + -14a + 14a Combine like terms: -14a + 14a = 0 -20 + 8a = 4 + 0 -20 + 8a = 4 Add '20' to each side of the equation. -20 + 20 + 8a = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 8a = 4 + 20 8a = 4 + 20 Combine like terms: 4 + 20 = 24 8a = 24 Divide each side by '8'. a = 3 Simplifying a = 3
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