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Simplifying 22 = 5a + 7(a + -2) Reorder the terms: 22 = 5a + 7(-2 + a) 22 = 5a + (-2 * 7 + a * 7) 22 = 5a + (-14 + 7a) Reorder the terms: 22 = -14 + 5a + 7a Combine like terms: 5a + 7a = 12a 22 = -14 + 12a Solving 22 = -14 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 22 + -12a = -14 + 12a + -12a Combine like terms: 12a + -12a = 0 22 + -12a = -14 + 0 22 + -12a = -14 Add '-22' to each side of the equation. 22 + -22 + -12a = -14 + -22 Combine like terms: 22 + -22 = 0 0 + -12a = -14 + -22 -12a = -14 + -22 Combine like terms: -14 + -22 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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