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Simplifying 6(a + -3) = 2(2 + 5a) + 2 Reorder the terms: 6(-3 + a) = 2(2 + 5a) + 2 (-3 * 6 + a * 6) = 2(2 + 5a) + 2 (-18 + 6a) = 2(2 + 5a) + 2 -18 + 6a = (2 * 2 + 5a * 2) + 2 -18 + 6a = (4 + 10a) + 2 Reorder the terms: -18 + 6a = 4 + 2 + 10a Combine like terms: 4 + 2 = 6 -18 + 6a = 6 + 10a Solving -18 + 6a = 6 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -18 + 6a + -10a = 6 + 10a + -10a Combine like terms: 6a + -10a = -4a -18 + -4a = 6 + 10a + -10a Combine like terms: 10a + -10a = 0 -18 + -4a = 6 + 0 -18 + -4a = 6 Add '18' to each side of the equation. -18 + 18 + -4a = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -4a = 6 + 18 -4a = 6 + 18 Combine like terms: 6 + 18 = 24 -4a = 24 Divide each side by '-4'. a = -6 Simplifying a = -6
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