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Simplifying -8a + 8 = 7(-7 + 7a) Reorder the terms: 8 + -8a = 7(-7 + 7a) 8 + -8a = (-7 * 7 + 7a * 7) 8 + -8a = (-49 + 49a) Solving 8 + -8a = -49 + 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. 8 + -8a + -49a = -49 + 49a + -49a Combine like terms: -8a + -49a = -57a 8 + -57a = -49 + 49a + -49a Combine like terms: 49a + -49a = 0 8 + -57a = -49 + 0 8 + -57a = -49 Add '-8' to each side of the equation. 8 + -8 + -57a = -49 + -8 Combine like terms: 8 + -8 = 0 0 + -57a = -49 + -8 -57a = -49 + -8 Combine like terms: -49 + -8 = -57 -57a = -57 Divide each side by '-57'. a = 1 Simplifying a = 1
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