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Simplifying 3a + 5 = 10a + 3 Reorder the terms: 5 + 3a = 10a + 3 Reorder the terms: 5 + 3a = 3 + 10a Solving 5 + 3a = 3 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 5 + 3a + -10a = 3 + 10a + -10a Combine like terms: 3a + -10a = -7a 5 + -7a = 3 + 10a + -10a Combine like terms: 10a + -10a = 0 5 + -7a = 3 + 0 5 + -7a = 3 Add '-5' to each side of the equation. 5 + -5 + -7a = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = 3 + -5 -7a = 3 + -5 Combine like terms: 3 + -5 = -2 -7a = -2 Divide each side by '-7'. a = 0.2857142857 Simplifying a = 0.2857142857
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