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Simplifying -229 = -4 + 9(4a + 7) Reorder the terms: -229 = -4 + 9(7 + 4a) -229 = -4 + (7 * 9 + 4a * 9) -229 = -4 + (63 + 36a) Combine like terms: -4 + 63 = 59 -229 = 59 + 36a Solving -229 = 59 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. -229 + -36a = 59 + 36a + -36a Combine like terms: 36a + -36a = 0 -229 + -36a = 59 + 0 -229 + -36a = 59 Add '229' to each side of the equation. -229 + 229 + -36a = 59 + 229 Combine like terms: -229 + 229 = 0 0 + -36a = 59 + 229 -36a = 59 + 229 Combine like terms: 59 + 229 = 288 -36a = 288 Divide each side by '-36'. a = -8 Simplifying a = -8
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