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Simplifying 7 + -3a = 19 + -4a Solving 7 + -3a = 19 + -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. 7 + -3a + 4a = 19 + -4a + 4a Combine like terms: -3a + 4a = 1a 7 + 1a = 19 + -4a + 4a Combine like terms: -4a + 4a = 0 7 + 1a = 19 + 0 7 + 1a = 19 Add '-7' to each side of the equation. 7 + -7 + 1a = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 19 + -7 1a = 19 + -7 Combine like terms: 19 + -7 = 12 1a = 12 Divide each side by '1'. a = 12 Simplifying a = 12
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