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Simplifying 3a + 10 = 4a + -2 Reorder the terms: 10 + 3a = 4a + -2 Reorder the terms: 10 + 3a = -2 + 4a Solving 10 + 3a = -2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 10 + 3a + -4a = -2 + 4a + -4a Combine like terms: 3a + -4a = -1a 10 + -1a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + -1a = -2 + 0 10 + -1a = -2 Add '-10' to each side of the equation. 10 + -10 + -1a = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = -2 + -10 -1a = -2 + -10 Combine like terms: -2 + -10 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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