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Simplifying 18w + -7x + 6a + -12 + 6x + 2 = 0 Reorder the terms: -12 + 2 + 6a + 18w + -7x + 6x = 0 Combine like terms: -12 + 2 = -10 -10 + 6a + 18w + -7x + 6x = 0 Combine like terms: -7x + 6x = -1x -10 + 6a + 18w + -1x = 0 Solving -10 + 6a + 18w + -1x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6a + 18w + 10 + -1x = 0 + 10 Reorder the terms: -10 + 10 + 6a + 18w + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6a + 18w + -1x = 0 + 10 6a + 18w + -1x = 0 + 10 Combine like terms: 0 + 10 = 10 6a + 18w + -1x = 10 Add '-18w' to each side of the equation. 6a + 18w + -18w + -1x = 10 + -18w Combine like terms: 18w + -18w = 0 6a + 0 + -1x = 10 + -18w 6a + -1x = 10 + -18w Add 'x' to each side of the equation. 6a + -1x + x = 10 + -18w + x Combine like terms: -1x + x = 0 6a + 0 = 10 + -18w + x 6a = 10 + -18w + x Divide each side by '6'. a = 1.666666667 + -3w + 0.1666666667x Simplifying a = 1.666666667 + -3w + 0.1666666667x
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