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Simplifying 2(1 + a) + -2(a + 7) = -2a + -4a (1 * 2 + a * 2) + -2(a + 7) = -2a + -4a (2 + 2a) + -2(a + 7) = -2a + -4a Reorder the terms: 2 + 2a + -2(7 + a) = -2a + -4a 2 + 2a + (7 * -2 + a * -2) = -2a + -4a 2 + 2a + (-14 + -2a) = -2a + -4a Reorder the terms: 2 + -14 + 2a + -2a = -2a + -4a Combine like terms: 2 + -14 = -12 -12 + 2a + -2a = -2a + -4a Combine like terms: 2a + -2a = 0 -12 + 0 = -2a + -4a -12 = -2a + -4a Combine like terms: -2a + -4a = -6a -12 = -6a Solving -12 = -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -12 + 6a = -6a + 6a Combine like terms: -6a + 6a = 0 -12 + 6a = 0 Add '12' to each side of the equation. -12 + 12 + 6a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6a = 0 + 12 6a = 0 + 12 Combine like terms: 0 + 12 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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