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Simplifying 3a + 2 = 7a + 10 Reorder the terms: 2 + 3a = 7a + 10 Reorder the terms: 2 + 3a = 10 + 7a Solving 2 + 3a = 10 + 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. 2 + 3a + -7a = 10 + 7a + -7a Combine like terms: 3a + -7a = -4a 2 + -4a = 10 + 7a + -7a Combine like terms: 7a + -7a = 0 2 + -4a = 10 + 0 2 + -4a = 10 Add '-2' to each side of the equation. 2 + -2 + -4a = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -4a = 10 + -2 -4a = 10 + -2 Combine like terms: 10 + -2 = 8 -4a = 8 Divide each side by '-4'. a = -2 Simplifying a = -2
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