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Simplifying 7(a + 6) = 2a + 22 Reorder the terms: 7(6 + a) = 2a + 22 (6 * 7 + a * 7) = 2a + 22 (42 + 7a) = 2a + 22 Reorder the terms: 42 + 7a = 22 + 2a Solving 42 + 7a = 22 + 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. 42 + 7a + -2a = 22 + 2a + -2a Combine like terms: 7a + -2a = 5a 42 + 5a = 22 + 2a + -2a Combine like terms: 2a + -2a = 0 42 + 5a = 22 + 0 42 + 5a = 22 Add '-42' to each side of the equation. 42 + -42 + 5a = 22 + -42 Combine like terms: 42 + -42 = 0 0 + 5a = 22 + -42 5a = 22 + -42 Combine like terms: 22 + -42 = -20 5a = -20 Divide each side by '5'. a = -4 Simplifying a = -4
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