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Simplifying 24a + -8 + -10a = -2(a + -7a) Reorder the terms: -8 + 24a + -10a = -2(a + -7a) Combine like terms: 24a + -10a = 14a -8 + 14a = -2(a + -7a) Combine like terms: a + -7a = -6a -8 + 14a = -2(-6a) Remove parenthesis around (-6a) -8 + 14a = -2 * -6a Multiply -2 * -6 -8 + 14a = 12a Solving -8 + 14a = 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. -8 + 14a + -12a = 12a + -12a Combine like terms: 14a + -12a = 2a -8 + 2a = 12a + -12a Combine like terms: 12a + -12a = 0 -8 + 2a = 0 Add '8' to each side of the equation. -8 + 8 + 2a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = 0 + 8 2a = 0 + 8 Combine like terms: 0 + 8 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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