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Simplifying 5 + -2a = 19 + 5a Solving 5 + -2a = 19 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 5 + -2a + -5a = 19 + 5a + -5a Combine like terms: -2a + -5a = -7a 5 + -7a = 19 + 5a + -5a Combine like terms: 5a + -5a = 0 5 + -7a = 19 + 0 5 + -7a = 19 Add '-5' to each side of the equation. 5 + -5 + -7a = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = 19 + -5 -7a = 19 + -5 Combine like terms: 19 + -5 = 14 -7a = 14 Divide each side by '-7'. a = -2 Simplifying a = -2
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