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Simplifying 4a + 7 + -1a = 19 + -1a Reorder the terms: 7 + 4a + -1a = 19 + -1a Combine like terms: 4a + -1a = 3a 7 + 3a = 19 + -1a Solving 7 + 3a = 19 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + 3a + a = 19 + -1a + a Combine like terms: 3a + a = 4a 7 + 4a = 19 + -1a + a Combine like terms: -1a + a = 0 7 + 4a = 19 + 0 7 + 4a = 19 Add '-7' to each side of the equation. 7 + -7 + 4a = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 19 + -7 4a = 19 + -7 Combine like terms: 19 + -7 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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