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Simplifying 3(2 + 5a) + -10 = 22 + 6a (2 * 3 + 5a * 3) + -10 = 22 + 6a (6 + 15a) + -10 = 22 + 6a Reorder the terms: 6 + -10 + 15a = 22 + 6a Combine like terms: 6 + -10 = -4 -4 + 15a = 22 + 6a Solving -4 + 15a = 22 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -4 + 15a + -6a = 22 + 6a + -6a Combine like terms: 15a + -6a = 9a -4 + 9a = 22 + 6a + -6a Combine like terms: 6a + -6a = 0 -4 + 9a = 22 + 0 -4 + 9a = 22 Add '4' to each side of the equation. -4 + 4 + 9a = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 9a = 22 + 4 9a = 22 + 4 Combine like terms: 22 + 4 = 26 9a = 26 Divide each side by '9'. a = 2.888888889 Simplifying a = 2.888888889
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