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Simplifying -7(5a + -5) = -5(1 + 5a) Reorder the terms: -7(-5 + 5a) = -5(1 + 5a) (-5 * -7 + 5a * -7) = -5(1 + 5a) (35 + -35a) = -5(1 + 5a) 35 + -35a = (1 * -5 + 5a * -5) 35 + -35a = (-5 + -25a) Solving 35 + -35a = -5 + -25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25a' to each side of the equation. 35 + -35a + 25a = -5 + -25a + 25a Combine like terms: -35a + 25a = -10a 35 + -10a = -5 + -25a + 25a Combine like terms: -25a + 25a = 0 35 + -10a = -5 + 0 35 + -10a = -5 Add '-35' to each side of the equation. 35 + -35 + -10a = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -10a = -5 + -35 -10a = -5 + -35 Combine like terms: -5 + -35 = -40 -10a = -40 Divide each side by '-10'. a = 4 Simplifying a = 4
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