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Simplifying 4a + (-10a + 24) = 6a + a Reorder the terms: 4a + (24 + -10a) = 6a + a Remove parenthesis around (24 + -10a) 4a + 24 + -10a = 6a + a Reorder the terms: 24 + 4a + -10a = 6a + a Combine like terms: 4a + -10a = -6a 24 + -6a = 6a + a Combine like terms: 6a + a = 7a 24 + -6a = 7a Solving 24 + -6a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 24 + -6a + -7a = 7a + -7a Combine like terms: -6a + -7a = -13a 24 + -13a = 7a + -7a Combine like terms: 7a + -7a = 0 24 + -13a = 0 Add '-24' to each side of the equation. 24 + -24 + -13a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -13a = 0 + -24 -13a = 0 + -24 Combine like terms: 0 + -24 = -24 -13a = -24 Divide each side by '-13'. a = 1.846153846 Simplifying a = 1.846153846
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