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Simplifying 7a + -4 = 4a + 19 Reorder the terms: -4 + 7a = 4a + 19 Reorder the terms: -4 + 7a = 19 + 4a Solving -4 + 7a = 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. -4 + 7a + -4a = 19 + 4a + -4a Combine like terms: 7a + -4a = 3a -4 + 3a = 19 + 4a + -4a Combine like terms: 4a + -4a = 0 -4 + 3a = 19 + 0 -4 + 3a = 19 Add '4' to each side of the equation. -4 + 4 + 3a = 19 + 4 Combine like terms: -4 + 4 = 0 0 + 3a = 19 + 4 3a = 19 + 4 Combine like terms: 19 + 4 = 23 3a = 23 Divide each side by '3'. a = 7.666666667 Simplifying a = 7.666666667
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