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Simplifying 5(7 + -5a) = -2(7a + 1) + -7 (7 * 5 + -5a * 5) = -2(7a + 1) + -7 (35 + -25a) = -2(7a + 1) + -7 Reorder the terms: 35 + -25a = -2(1 + 7a) + -7 35 + -25a = (1 * -2 + 7a * -2) + -7 35 + -25a = (-2 + -14a) + -7 Reorder the terms: 35 + -25a = -2 + -7 + -14a Combine like terms: -2 + -7 = -9 35 + -25a = -9 + -14a Solving 35 + -25a = -9 + -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. 35 + -25a + 14a = -9 + -14a + 14a Combine like terms: -25a + 14a = -11a 35 + -11a = -9 + -14a + 14a Combine like terms: -14a + 14a = 0 35 + -11a = -9 + 0 35 + -11a = -9 Add '-35' to each side of the equation. 35 + -35 + -11a = -9 + -35 Combine like terms: 35 + -35 = 0 0 + -11a = -9 + -35 -11a = -9 + -35 Combine like terms: -9 + -35 = -44 -11a = -44 Divide each side by '-11'. a = 4 Simplifying a = 4
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