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Simplifying 6(a + -4) + 6 = 5a + 2 Reorder the terms: 6(-4 + a) + 6 = 5a + 2 (-4 * 6 + a * 6) + 6 = 5a + 2 (-24 + 6a) + 6 = 5a + 2 Reorder the terms: -24 + 6 + 6a = 5a + 2 Combine like terms: -24 + 6 = -18 -18 + 6a = 5a + 2 Reorder the terms: -18 + 6a = 2 + 5a Solving -18 + 6a = 2 + 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. -18 + 6a + -5a = 2 + 5a + -5a Combine like terms: 6a + -5a = 1a -18 + 1a = 2 + 5a + -5a Combine like terms: 5a + -5a = 0 -18 + 1a = 2 + 0 -18 + 1a = 2 Add '18' to each side of the equation. -18 + 18 + 1a = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 1a = 2 + 18 1a = 2 + 18 Combine like terms: 2 + 18 = 20 1a = 20 Divide each side by '1'. a = 20 Simplifying a = 20
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