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Simplifying 30 = 2(a + 3) + 2w Reorder the terms: 30 = 2(3 + a) + 2w 30 = (3 * 2 + a * 2) + 2w 30 = (6 + 2a) + 2w Solving 30 = 6 + 2a + 2w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 30 + -2a = 6 + 2a + -2a + 2w Combine like terms: 2a + -2a = 0 30 + -2a = 6 + 0 + 2w 30 + -2a = 6 + 2w Add '-30' to each side of the equation. 30 + -30 + -2a = 6 + -30 + 2w Combine like terms: 30 + -30 = 0 0 + -2a = 6 + -30 + 2w -2a = 6 + -30 + 2w Combine like terms: 6 + -30 = -24 -2a = -24 + 2w Divide each side by '-2'. a = 12 + -1w Simplifying a = 12 + -1w
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