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Simplifying 24a + -8 + -10 = -2(4 + -7a) Reorder the terms: -8 + -10 + 24a = -2(4 + -7a) Combine like terms: -8 + -10 = -18 -18 + 24a = -2(4 + -7a) -18 + 24a = (4 * -2 + -7a * -2) -18 + 24a = (-8 + 14a) Solving -18 + 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. -18 + 24a + -14a = -8 + 14a + -14a Combine like terms: 24a + -14a = 10a -18 + 10a = -8 + 14a + -14a Combine like terms: 14a + -14a = 0 -18 + 10a = -8 + 0 -18 + 10a = -8 Add '18' to each side of the equation. -18 + 18 + 10a = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 10a = -8 + 18 10a = -8 + 18 Combine like terms: -8 + 18 = 10 10a = 10 Divide each side by '10'. a = 1 Simplifying a = 1
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