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Simplifying -80 = -3 + -7(1 + 5a) -80 = -3 + (1 * -7 + 5a * -7) -80 = -3 + (-7 + -35a) Combine like terms: -3 + -7 = -10 -80 = -10 + -35a Solving -80 = -10 + -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. -80 + 35a = -10 + -35a + 35a Combine like terms: -35a + 35a = 0 -80 + 35a = -10 + 0 -80 + 35a = -10 Add '80' to each side of the equation. -80 + 80 + 35a = -10 + 80 Combine like terms: -80 + 80 = 0 0 + 35a = -10 + 80 35a = -10 + 80 Combine like terms: -10 + 80 = 70 35a = 70 Divide each side by '35'. a = 2 Simplifying a = 2
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