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Simplifying [5(5a + -5) + -120] * 5 + -25 = 125 Reorder the terms: [5(-5 + 5a) + -120] * 5 + -25 = 125 [(-5 * 5 + 5a * 5) + -120] * 5 + -25 = 125 [(-25 + 25a) + -120] * 5 + -25 = 125 Reorder the terms: [-25 + -120 + 25a] * 5 + -25 = 125 Combine like terms: -25 + -120 = -145 [-145 + 25a] * 5 + -25 = 125 Reorder the terms for easier multiplication: 5[-145 + 25a] + -25 = 125 [-145 * 5 + 25a * 5] + -25 = 125 [-725 + 125a] + -25 = 125 Reorder the terms: -725 + -25 + 125a = 125 Combine like terms: -725 + -25 = -750 -750 + 125a = 125 Solving -750 + 125a = 125 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '750' to each side of the equation. -750 + 750 + 125a = 125 + 750 Combine like terms: -750 + 750 = 0 0 + 125a = 125 + 750 125a = 125 + 750 Combine like terms: 125 + 750 = 875 125a = 875 Divide each side by '125'. a = 7 Simplifying a = 7
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