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Simplifying -5(7a + -6) = -20 + -2a Reorder the terms: -5(-6 + 7a) = -20 + -2a (-6 * -5 + 7a * -5) = -20 + -2a (30 + -35a) = -20 + -2a Solving 30 + -35a = -20 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 30 + -35a + 2a = -20 + -2a + 2a Combine like terms: -35a + 2a = -33a 30 + -33a = -20 + -2a + 2a Combine like terms: -2a + 2a = 0 30 + -33a = -20 + 0 30 + -33a = -20 Add '-30' to each side of the equation. 30 + -30 + -33a = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -33a = -20 + -30 -33a = -20 + -30 Combine like terms: -20 + -30 = -50 -33a = -50 Divide each side by '-33'. a = 1.515151515 Simplifying a = 1.515151515
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