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Simplifying -22 = 7 + 9(a + 4) Reorder the terms: -22 = 7 + 9(4 + a) -22 = 7 + (4 * 9 + a * 9) -22 = 7 + (36 + 9a) Combine like terms: 7 + 36 = 43 -22 = 43 + 9a Solving -22 = 43 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -22 + -9a = 43 + 9a + -9a Combine like terms: 9a + -9a = 0 -22 + -9a = 43 + 0 -22 + -9a = 43 Add '22' to each side of the equation. -22 + 22 + -9a = 43 + 22 Combine like terms: -22 + 22 = 0 0 + -9a = 43 + 22 -9a = 43 + 22 Combine like terms: 43 + 22 = 65 -9a = 65 Divide each side by '-9'. a = -7.222222222 Simplifying a = -7.222222222
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