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Simplifying -112 = -7(-2a + 1) + 7 Reorder the terms: -112 = -7(1 + -2a) + 7 -112 = (1 * -7 + -2a * -7) + 7 -112 = (-7 + 14a) + 7 Reorder the terms: -112 = -7 + 7 + 14a Combine like terms: -7 + 7 = 0 -112 = 0 + 14a -112 = 14a Solving -112 = 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. -112 + -14a = 14a + -14a Combine like terms: 14a + -14a = 0 -112 + -14a = 0 Add '112' to each side of the equation. -112 + 112 + -14a = 0 + 112 Combine like terms: -112 + 112 = 0 0 + -14a = 0 + 112 -14a = 0 + 112 Combine like terms: 0 + 112 = 112 -14a = 112 Divide each side by '-14'. a = -8 Simplifying a = -8
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