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Simplifying -245 = 7(5a + 5) Reorder the terms: -245 = 7(5 + 5a) -245 = (5 * 7 + 5a * 7) -245 = (35 + 35a) Solving -245 = 35 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. -245 + -35a = 35 + 35a + -35a Combine like terms: 35a + -35a = 0 -245 + -35a = 35 + 0 -245 + -35a = 35 Add '245' to each side of the equation. -245 + 245 + -35a = 35 + 245 Combine like terms: -245 + 245 = 0 0 + -35a = 35 + 245 -35a = 35 + 245 Combine like terms: 35 + 245 = 280 -35a = 280 Divide each side by '-35'. a = -8 Simplifying a = -8
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