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Simplifying 22 = 7 + 10a + -13a Combine like terms: 10a + -13a = -3a 22 = 7 + -3a Solving 22 = 7 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 22 + 3a = 7 + -3a + 3a Combine like terms: -3a + 3a = 0 22 + 3a = 7 + 0 22 + 3a = 7 Add '-22' to each side of the equation. 22 + -22 + 3a = 7 + -22 Combine like terms: 22 + -22 = 0 0 + 3a = 7 + -22 3a = 7 + -22 Combine like terms: 7 + -22 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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