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Simplifying (a + 4) = 9[a + -1(7 + -1)] Reorder the terms: (4 + a) = 9[a + -1(7 + -1)] Remove parenthesis around (4 + a) 4 + a = 9[a + -1(7 + -1)] Combine like terms: 7 + -1 = 6 4 + a = 9[a + -1(6)] Multiply -1 * 6 4 + a = 9[a + -6] Reorder the terms: 4 + a = 9[-6 + a] 4 + a = [-6 * 9 + a * 9] 4 + a = [-54 + 9a] Solving 4 + a = -54 + 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. 4 + a + -9a = -54 + 9a + -9a Combine like terms: a + -9a = -8a 4 + -8a = -54 + 9a + -9a Combine like terms: 9a + -9a = 0 4 + -8a = -54 + 0 4 + -8a = -54 Add '-4' to each side of the equation. 4 + -4 + -8a = -54 + -4 Combine like terms: 4 + -4 = 0 0 + -8a = -54 + -4 -8a = -54 + -4 Combine like terms: -54 + -4 = -58 -8a = -58 Divide each side by '-8'. a = 7.25 Simplifying a = 7.25
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