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Simplifying -35 = 5 + 7(a + 2) Reorder the terms: -35 = 5 + 7(2 + a) -35 = 5 + (2 * 7 + a * 7) -35 = 5 + (14 + 7a) Combine like terms: 5 + 14 = 19 -35 = 19 + 7a Solving -35 = 19 + 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 = 19 + 7a + -7a Combine like terms: 7a + -7a = 0 -35 + -7a = 19 + 0 -35 + -7a = 19 Add '35' to each side of the equation. -35 + 35 + -7a = 19 + 35 Combine like terms: -35 + 35 = 0 0 + -7a = 19 + 35 -7a = 19 + 35 Combine like terms: 19 + 35 = 54 -7a = 54 Divide each side by '-7'. a = -7.714285714 Simplifying a = -7.714285714
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