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Simplifying -35 = 7(a + -8) Reorder the terms: -35 = 7(-8 + a) -35 = (-8 * 7 + a * 7) -35 = (-56 + 7a) Solving -35 = -56 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -35 + -7a = -56 + 7a + -7a Combine like terms: 7a + -7a = 0 -35 + -7a = -56 + 0 -35 + -7a = -56 Add '35' to each side of the equation. -35 + 35 + -7a = -56 + 35 Combine like terms: -35 + 35 = 0 0 + -7a = -56 + 35 -7a = -56 + 35 Combine like terms: -56 + 35 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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