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