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Simplifying 7a + -2(6 + -2a) = -5a + 4 7a + (6 * -2 + -2a * -2) = -5a + 4 7a + (-12 + 4a) = -5a + 4 Reorder the terms: -12 + 7a + 4a = -5a + 4 Combine like terms: 7a + 4a = 11a -12 + 11a = -5a + 4 Reorder the terms: -12 + 11a = 4 + -5a Solving -12 + 11a = 4 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -12 + 11a + 5a = 4 + -5a + 5a Combine like terms: 11a + 5a = 16a -12 + 16a = 4 + -5a + 5a Combine like terms: -5a + 5a = 0 -12 + 16a = 4 + 0 -12 + 16a = 4 Add '12' to each side of the equation. -12 + 12 + 16a = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 16a = 4 + 12 16a = 4 + 12 Combine like terms: 4 + 12 = 16 16a = 16 Divide each side by '16'. a = 1 Simplifying a = 1
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