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Simplifying -8a + 24 = 7a + 30 Reorder the terms: 24 + -8a = 7a + 30 Reorder the terms: 24 + -8a = 30 + 7a Solving 24 + -8a = 30 + 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 + -8a + -7a = 30 + 7a + -7a Combine like terms: -8a + -7a = -15a 24 + -15a = 30 + 7a + -7a Combine like terms: 7a + -7a = 0 24 + -15a = 30 + 0 24 + -15a = 30 Add '-24' to each side of the equation. 24 + -24 + -15a = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -15a = 30 + -24 -15a = 30 + -24 Combine like terms: 30 + -24 = 6 -15a = 6 Divide each side by '-15'. a = -0.4 Simplifying a = -0.4
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