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Simplifying 19 + 2a = 1 + -7a Solving 19 + 2a = 1 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 19 + 2a + 7a = 1 + -7a + 7a Combine like terms: 2a + 7a = 9a 19 + 9a = 1 + -7a + 7a Combine like terms: -7a + 7a = 0 19 + 9a = 1 + 0 19 + 9a = 1 Add '-19' to each side of the equation. 19 + -19 + 9a = 1 + -19 Combine like terms: 19 + -19 = 0 0 + 9a = 1 + -19 9a = 1 + -19 Combine like terms: 1 + -19 = -18 9a = -18 Divide each side by '9'. a = -2 Simplifying a = -2
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