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Simplifying -3(a + 8) = a + 2(5a + -7) Reorder the terms: -3(8 + a) = a + 2(5a + -7) (8 * -3 + a * -3) = a + 2(5a + -7) (-24 + -3a) = a + 2(5a + -7) Reorder the terms: -24 + -3a = a + 2(-7 + 5a) -24 + -3a = a + (-7 * 2 + 5a * 2) -24 + -3a = a + (-14 + 10a) Reorder the terms: -24 + -3a = -14 + a + 10a Combine like terms: a + 10a = 11a -24 + -3a = -14 + 11a Solving -24 + -3a = -14 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -24 + -3a + -11a = -14 + 11a + -11a Combine like terms: -3a + -11a = -14a -24 + -14a = -14 + 11a + -11a Combine like terms: 11a + -11a = 0 -24 + -14a = -14 + 0 -24 + -14a = -14 Add '24' to each side of the equation. -24 + 24 + -14a = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -14a = -14 + 24 -14a = -14 + 24 Combine like terms: -14 + 24 = 10 -14a = 10 Divide each side by '-14'. a = -0.7142857143 Simplifying a = -0.7142857143
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