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Simplifying -385 = 7(1 + -7a) -385 = (1 * 7 + -7a * 7) -385 = (7 + -49a) Solving -385 = 7 + -49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49a' to each side of the equation. -385 + 49a = 7 + -49a + 49a Combine like terms: -49a + 49a = 0 -385 + 49a = 7 + 0 -385 + 49a = 7 Add '385' to each side of the equation. -385 + 385 + 49a = 7 + 385 Combine like terms: -385 + 385 = 0 0 + 49a = 7 + 385 49a = 7 + 385 Combine like terms: 7 + 385 = 392 49a = 392 Divide each side by '49'. a = 8 Simplifying a = 8
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