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Simplifying 3(a + -2) + 5w = 22 Reorder the terms: 3(-2 + a) + 5w = 22 (-2 * 3 + a * 3) + 5w = 22 (-6 + 3a) + 5w = 22 Solving -6 + 3a + 5w = 22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3a + 6 + 5w = 22 + 6 Reorder the terms: -6 + 6 + 3a + 5w = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 3a + 5w = 22 + 6 3a + 5w = 22 + 6 Combine like terms: 22 + 6 = 28 3a + 5w = 28 Add '-5w' to each side of the equation. 3a + 5w + -5w = 28 + -5w Combine like terms: 5w + -5w = 0 3a + 0 = 28 + -5w 3a = 28 + -5w Divide each side by '3'. a = 9.333333333 + -1.666666667w Simplifying a = 9.333333333 + -1.666666667w
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