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Simplifying 10a + 2 = 3a + 5 Reorder the terms: 2 + 10a = 3a + 5 Reorder the terms: 2 + 10a = 5 + 3a Solving 2 + 10a = 5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 2 + 10a + -3a = 5 + 3a + -3a Combine like terms: 10a + -3a = 7a 2 + 7a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + 7a = 5 + 0 2 + 7a = 5 Add '-2' to each side of the equation. 2 + -2 + 7a = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 7a = 5 + -2 7a = 5 + -2 Combine like terms: 5 + -2 = 3 7a = 3 Divide each side by '7'. a = 0.4285714286 Simplifying a = 0.4285714286
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