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Simplifying 7a + -2 = 2(a + 9) Reorder the terms: -2 + 7a = 2(a + 9) Reorder the terms: -2 + 7a = 2(9 + a) -2 + 7a = (9 * 2 + a * 2) -2 + 7a = (18 + 2a) Solving -2 + 7a = 18 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -2 + 7a + -2a = 18 + 2a + -2a Combine like terms: 7a + -2a = 5a -2 + 5a = 18 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + 5a = 18 + 0 -2 + 5a = 18 Add '2' to each side of the equation. -2 + 2 + 5a = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 5a = 18 + 2 5a = 18 + 2 Combine like terms: 18 + 2 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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