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Simplifying -7 + -7(-1 + a) = 7(a + -4) -7 + (-1 * -7 + a * -7) = 7(a + -4) -7 + (7 + -7a) = 7(a + -4) Combine like terms: -7 + 7 = 0 0 + -7a = 7(a + -4) -7a = 7(a + -4) Reorder the terms: -7a = 7(-4 + a) -7a = (-4 * 7 + a * 7) -7a = (-28 + 7a) Solving -7a = -28 + 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. -7a + -7a = -28 + 7a + -7a Combine like terms: -7a + -7a = -14a -14a = -28 + 7a + -7a Combine like terms: 7a + -7a = 0 -14a = -28 + 0 -14a = -28 Divide each side by '-14'. a = 2 Simplifying a = 2
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