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Simplifying 4 + -8a + -24 = 7a + 10 + -5a Reorder the terms: 4 + -24 + -8a = 7a + 10 + -5a Combine like terms: 4 + -24 = -20 -20 + -8a = 7a + 10 + -5a Reorder the terms: -20 + -8a = 10 + 7a + -5a Combine like terms: 7a + -5a = 2a -20 + -8a = 10 + 2a Solving -20 + -8a = 10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -20 + -8a + -2a = 10 + 2a + -2a Combine like terms: -8a + -2a = -10a -20 + -10a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + -10a = 10 + 0 -20 + -10a = 10 Add '20' to each side of the equation. -20 + 20 + -10a = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -10a = 10 + 20 -10a = 10 + 20 Combine like terms: 10 + 20 = 30 -10a = 30 Divide each side by '-10'. a = -3 Simplifying a = -3
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