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Simplifying -420 = 4a + -7(8a + 8) Reorder the terms: -420 = 4a + -7(8 + 8a) -420 = 4a + (8 * -7 + 8a * -7) -420 = 4a + (-56 + -56a) Reorder the terms: -420 = -56 + 4a + -56a Combine like terms: 4a + -56a = -52a -420 = -56 + -52a Solving -420 = -56 + -52a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '52a' to each side of the equation. -420 + 52a = -56 + -52a + 52a Combine like terms: -52a + 52a = 0 -420 + 52a = -56 + 0 -420 + 52a = -56 Add '420' to each side of the equation. -420 + 420 + 52a = -56 + 420 Combine like terms: -420 + 420 = 0 0 + 52a = -56 + 420 52a = -56 + 420 Combine like terms: -56 + 420 = 364 52a = 364 Divide each side by '52'. a = 7 Simplifying a = 7
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