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Simplifying 24a + 2x + -8 = 42a + 2 + -1x Reorder the terms: -8 + 24a + 2x = 42a + 2 + -1x Reorder the terms: -8 + 24a + 2x = 2 + 42a + -1x Solving -8 + 24a + 2x = 2 + 42a + -1x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. -8 + 24a + -42a + 2x = 2 + 42a + -42a + -1x Combine like terms: 24a + -42a = -18a -8 + -18a + 2x = 2 + 42a + -42a + -1x Combine like terms: 42a + -42a = 0 -8 + -18a + 2x = 2 + 0 + -1x -8 + -18a + 2x = 2 + -1x Add '8' to each side of the equation. -8 + -18a + 8 + 2x = 2 + 8 + -1x Reorder the terms: -8 + 8 + -18a + 2x = 2 + 8 + -1x Combine like terms: -8 + 8 = 0 0 + -18a + 2x = 2 + 8 + -1x -18a + 2x = 2 + 8 + -1x Combine like terms: 2 + 8 = 10 -18a + 2x = 10 + -1x Add '-2x' to each side of the equation. -18a + 2x + -2x = 10 + -1x + -2x Combine like terms: 2x + -2x = 0 -18a + 0 = 10 + -1x + -2x -18a = 10 + -1x + -2x Combine like terms: -1x + -2x = -3x -18a = 10 + -3x Divide each side by '-18'. a = -0.5555555556 + 0.1666666667x Simplifying a = -0.5555555556 + 0.1666666667x
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