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Simplifying -11(a + -2) = -7(7 + a) + -7 Reorder the terms: -11(-2 + a) = -7(7 + a) + -7 (-2 * -11 + a * -11) = -7(7 + a) + -7 (22 + -11a) = -7(7 + a) + -7 22 + -11a = (7 * -7 + a * -7) + -7 22 + -11a = (-49 + -7a) + -7 Reorder the terms: 22 + -11a = -49 + -7 + -7a Combine like terms: -49 + -7 = -56 22 + -11a = -56 + -7a Solving 22 + -11a = -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. 22 + -11a + 7a = -56 + -7a + 7a Combine like terms: -11a + 7a = -4a 22 + -4a = -56 + -7a + 7a Combine like terms: -7a + 7a = 0 22 + -4a = -56 + 0 22 + -4a = -56 Add '-22' to each side of the equation. 22 + -22 + -4a = -56 + -22 Combine like terms: 22 + -22 = 0 0 + -4a = -56 + -22 -4a = -56 + -22 Combine like terms: -56 + -22 = -78 -4a = -78 Divide each side by '-4'. a = 19.5 Simplifying a = 19.5
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