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Simplifying -7(a + 2) + -2(a + 5) = 7a + 8a Reorder the terms: -7(2 + a) + -2(a + 5) = 7a + 8a (2 * -7 + a * -7) + -2(a + 5) = 7a + 8a (-14 + -7a) + -2(a + 5) = 7a + 8a Reorder the terms: -14 + -7a + -2(5 + a) = 7a + 8a -14 + -7a + (5 * -2 + a * -2) = 7a + 8a -14 + -7a + (-10 + -2a) = 7a + 8a Reorder the terms: -14 + -10 + -7a + -2a = 7a + 8a Combine like terms: -14 + -10 = -24 -24 + -7a + -2a = 7a + 8a Combine like terms: -7a + -2a = -9a -24 + -9a = 7a + 8a Combine like terms: 7a + 8a = 15a -24 + -9a = 15a Solving -24 + -9a = 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -24 + -9a + -15a = 15a + -15a Combine like terms: -9a + -15a = -24a -24 + -24a = 15a + -15a Combine like terms: 15a + -15a = 0 -24 + -24a = 0 Add '24' to each side of the equation. -24 + 24 + -24a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -24a = 0 + 24 -24a = 0 + 24 Combine like terms: 0 + 24 = 24 -24a = 24 Divide each side by '-24'. a = -1 Simplifying a = -1
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