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Simplifying -315 = -5(7 + -7a) -315 = (7 * -5 + -7a * -5) -315 = (-35 + 35a) Solving -315 = -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. -315 + -35a = -35 + 35a + -35a Combine like terms: 35a + -35a = 0 -315 + -35a = -35 + 0 -315 + -35a = -35 Add '315' to each side of the equation. -315 + 315 + -35a = -35 + 315 Combine like terms: -315 + 315 = 0 0 + -35a = -35 + 315 -35a = -35 + 315 Combine like terms: -35 + 315 = 280 -35a = 280 Divide each side by '-35'. a = -8 Simplifying a = -8
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