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Simplifying 3a + 10 = 7a + -2 Reorder the terms: 10 + 3a = 7a + -2 Reorder the terms: 10 + 3a = -2 + 7a Solving 10 + 3a = -2 + 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. 10 + 3a + -7a = -2 + 7a + -7a Combine like terms: 3a + -7a = -4a 10 + -4a = -2 + 7a + -7a Combine like terms: 7a + -7a = 0 10 + -4a = -2 + 0 10 + -4a = -2 Add '-10' to each side of the equation. 10 + -10 + -4a = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4a = -2 + -10 -4a = -2 + -10 Combine like terms: -2 + -10 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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