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Simplifying 5(4a + -2) = 2(5a + -35) Reorder the terms: 5(-2 + 4a) = 2(5a + -35) (-2 * 5 + 4a * 5) = 2(5a + -35) (-10 + 20a) = 2(5a + -35) Reorder the terms: -10 + 20a = 2(-35 + 5a) -10 + 20a = (-35 * 2 + 5a * 2) -10 + 20a = (-70 + 10a) Solving -10 + 20a = -70 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -10 + 20a + -10a = -70 + 10a + -10a Combine like terms: 20a + -10a = 10a -10 + 10a = -70 + 10a + -10a Combine like terms: 10a + -10a = 0 -10 + 10a = -70 + 0 -10 + 10a = -70 Add '10' to each side of the equation. -10 + 10 + 10a = -70 + 10 Combine like terms: -10 + 10 = 0 0 + 10a = -70 + 10 10a = -70 + 10 Combine like terms: -70 + 10 = -60 10a = -60 Divide each side by '10'. a = -6 Simplifying a = -6
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