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Simplifying 6(a + -3) = (2 + 5a) + 2 Reorder the terms: 6(-3 + a) = (2 + 5a) + 2 (-3 * 6 + a * 6) = (2 + 5a) + 2 (-18 + 6a) = (2 + 5a) + 2 Remove parenthesis around (2 + 5a) -18 + 6a = 2 + 5a + 2 Reorder the terms: -18 + 6a = 2 + 2 + 5a Combine like terms: 2 + 2 = 4 -18 + 6a = 4 + 5a Solving -18 + 6a = 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. -18 + 6a + -5a = 4 + 5a + -5a Combine like terms: 6a + -5a = 1a -18 + 1a = 4 + 5a + -5a Combine like terms: 5a + -5a = 0 -18 + 1a = 4 + 0 -18 + 1a = 4 Add '18' to each side of the equation. -18 + 18 + 1a = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 1a = 4 + 18 1a = 4 + 18 Combine like terms: 4 + 18 = 22 1a = 22 Divide each side by '1'. a = 22 Simplifying a = 22
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