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Simplifying 24a + -8 + -100 = -2(4 + -7a) Reorder the terms: -8 + -100 + 24a = -2(4 + -7a) Combine like terms: -8 + -100 = -108 -108 + 24a = -2(4 + -7a) -108 + 24a = (4 * -2 + -7a * -2) -108 + 24a = (-8 + 14a) Solving -108 + 24a = -8 + 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. -108 + 24a + -14a = -8 + 14a + -14a Combine like terms: 24a + -14a = 10a -108 + 10a = -8 + 14a + -14a Combine like terms: 14a + -14a = 0 -108 + 10a = -8 + 0 -108 + 10a = -8 Add '108' to each side of the equation. -108 + 108 + 10a = -8 + 108 Combine like terms: -108 + 108 = 0 0 + 10a = -8 + 108 10a = -8 + 108 Combine like terms: -8 + 108 = 100 10a = 100 Divide each side by '10'. a = 10 Simplifying a = 10
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