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Simplifying -71 = -2(7a + 4) + 7 Reorder the terms: -71 = -2(4 + 7a) + 7 -71 = (4 * -2 + 7a * -2) + 7 -71 = (-8 + -14a) + 7 Reorder the terms: -71 = -8 + 7 + -14a Combine like terms: -8 + 7 = -1 -71 = -1 + -14a Solving -71 = -1 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -71 + 14a = -1 + -14a + 14a Combine like terms: -14a + 14a = 0 -71 + 14a = -1 + 0 -71 + 14a = -1 Add '71' to each side of the equation. -71 + 71 + 14a = -1 + 71 Combine like terms: -71 + 71 = 0 0 + 14a = -1 + 71 14a = -1 + 71 Combine like terms: -1 + 71 = 70 14a = 70 Divide each side by '14'. a = 5 Simplifying a = 5
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