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Simplifying 7(5 + 4a) + 5(-7a + -2) = -8a + -4a (5 * 7 + 4a * 7) + 5(-7a + -2) = -8a + -4a (35 + 28a) + 5(-7a + -2) = -8a + -4a Reorder the terms: 35 + 28a + 5(-2 + -7a) = -8a + -4a 35 + 28a + (-2 * 5 + -7a * 5) = -8a + -4a 35 + 28a + (-10 + -35a) = -8a + -4a Reorder the terms: 35 + -10 + 28a + -35a = -8a + -4a Combine like terms: 35 + -10 = 25 25 + 28a + -35a = -8a + -4a Combine like terms: 28a + -35a = -7a 25 + -7a = -8a + -4a Combine like terms: -8a + -4a = -12a 25 + -7a = -12a Solving 25 + -7a = -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 25 + -7a + 12a = -12a + 12a Combine like terms: -7a + 12a = 5a 25 + 5a = -12a + 12a Combine like terms: -12a + 12a = 0 25 + 5a = 0 Add '-25' to each side of the equation. 25 + -25 + 5a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5a = 0 + -25 5a = 0 + -25 Combine like terms: 0 + -25 = -25 5a = -25 Divide each side by '5'. a = -5 Simplifying a = -5
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