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Simplifying -7(a + 2) = 7(a + 8) Reorder the terms: -7(2 + a) = 7(a + 8) (2 * -7 + a * -7) = 7(a + 8) (-14 + -7a) = 7(a + 8) Reorder the terms: -14 + -7a = 7(8 + a) -14 + -7a = (8 * 7 + a * 7) -14 + -7a = (56 + 7a) Solving -14 + -7a = 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. -14 + -7a + -7a = 56 + 7a + -7a Combine like terms: -7a + -7a = -14a -14 + -14a = 56 + 7a + -7a Combine like terms: 7a + -7a = 0 -14 + -14a = 56 + 0 -14 + -14a = 56 Add '14' to each side of the equation. -14 + 14 + -14a = 56 + 14 Combine like terms: -14 + 14 = 0 0 + -14a = 56 + 14 -14a = 56 + 14 Combine like terms: 56 + 14 = 70 -14a = 70 Divide each side by '-14'. a = -5 Simplifying a = -5
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