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Simplifying -2(a + -4) + -2 = 3(7a + 2) Reorder the terms: -2(-4 + a) + -2 = 3(7a + 2) (-4 * -2 + a * -2) + -2 = 3(7a + 2) (8 + -2a) + -2 = 3(7a + 2) Reorder the terms: 8 + -2 + -2a = 3(7a + 2) Combine like terms: 8 + -2 = 6 6 + -2a = 3(7a + 2) Reorder the terms: 6 + -2a = 3(2 + 7a) 6 + -2a = (2 * 3 + 7a * 3) 6 + -2a = (6 + 21a) Add '-6' to each side of the equation. 6 + -6 + -2a = 6 + -6 + 21a Combine like terms: 6 + -6 = 0 0 + -2a = 6 + -6 + 21a -2a = 6 + -6 + 21a Combine like terms: 6 + -6 = 0 -2a = 0 + 21a -2a = 21a Solving -2a = 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -2a + -21a = 21a + -21a Combine like terms: -2a + -21a = -23a -23a = 21a + -21a Combine like terms: 21a + -21a = 0 -23a = 0 Divide each side by '-23'. a = 0 Simplifying a = 0
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