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Simplifying -5 = 5(1 + 7a) + 35a -5 = (1 * 5 + 7a * 5) + 35a -5 = (5 + 35a) + 35a Combine like terms: 35a + 35a = 70a -5 = 5 + 70a Solving -5 = 5 + 70a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-70a' to each side of the equation. -5 + -70a = 5 + 70a + -70a Combine like terms: 70a + -70a = 0 -5 + -70a = 5 + 0 -5 + -70a = 5 Add '5' to each side of the equation. -5 + 5 + -70a = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -70a = 5 + 5 -70a = 5 + 5 Combine like terms: 5 + 5 = 10 -70a = 10 Divide each side by '-70'. a = -0.1428571429 Simplifying a = -0.1428571429
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