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Simplifying 7[4 + -5(a + -5)] = 7(5 + -4a) Reorder the terms: 7[4 + -5(-5 + a)] = 7(5 + -4a) 7[4 + (-5 * -5 + a * -5)] = 7(5 + -4a) 7[4 + (25 + -5a)] = 7(5 + -4a) Combine like terms: 4 + 25 = 29 7[29 + -5a] = 7(5 + -4a) [29 * 7 + -5a * 7] = 7(5 + -4a) [203 + -35a] = 7(5 + -4a) 203 + -35a = (5 * 7 + -4a * 7) 203 + -35a = (35 + -28a) Solving 203 + -35a = 35 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. 203 + -35a + 28a = 35 + -28a + 28a Combine like terms: -35a + 28a = -7a 203 + -7a = 35 + -28a + 28a Combine like terms: -28a + 28a = 0 203 + -7a = 35 + 0 203 + -7a = 35 Add '-203' to each side of the equation. 203 + -203 + -7a = 35 + -203 Combine like terms: 203 + -203 = 0 0 + -7a = 35 + -203 -7a = 35 + -203 Combine like terms: 35 + -203 = -168 -7a = -168 Divide each side by '-7'. a = 24 Simplifying a = 24
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