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Simplifying 6a + 10 = -8a + 150 Reorder the terms: 10 + 6a = -8a + 150 Reorder the terms: 10 + 6a = 150 + -8a Solving 10 + 6a = 150 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 10 + 6a + 8a = 150 + -8a + 8a Combine like terms: 6a + 8a = 14a 10 + 14a = 150 + -8a + 8a Combine like terms: -8a + 8a = 0 10 + 14a = 150 + 0 10 + 14a = 150 Add '-10' to each side of the equation. 10 + -10 + 14a = 150 + -10 Combine like terms: 10 + -10 = 0 0 + 14a = 150 + -10 14a = 150 + -10 Combine like terms: 150 + -10 = 140 14a = 140 Divide each side by '14'. a = 10 Simplifying a = 10
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