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Simplifying -29 = -6 + 9(a + -8) Reorder the terms: -29 = -6 + 9(-8 + a) -29 = -6 + (-8 * 9 + a * 9) -29 = -6 + (-72 + 9a) Combine like terms: -6 + -72 = -78 -29 = -78 + 9a Solving -29 = -78 + 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. -29 + -9a = -78 + 9a + -9a Combine like terms: 9a + -9a = 0 -29 + -9a = -78 + 0 -29 + -9a = -78 Add '29' to each side of the equation. -29 + 29 + -9a = -78 + 29 Combine like terms: -29 + 29 = 0 0 + -9a = -78 + 29 -9a = -78 + 29 Combine like terms: -78 + 29 = -49 -9a = -49 Divide each side by '-9'. a = 5.444444444 Simplifying a = 5.444444444
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