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Simplifying 16(c + -1a) = 4(2a + -1x) Reorder the terms: 16(-1a + c) = 4(2a + -1x) (-1a * 16 + c * 16) = 4(2a + -1x) (-16a + 16c) = 4(2a + -1x) -16a + 16c = (2a * 4 + -1x * 4) -16a + 16c = (8a + -4x) Solving -16a + 16c = 8a + -4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -16a + -8a + 16c = 8a + -8a + -4x Combine like terms: -16a + -8a = -24a -24a + 16c = 8a + -8a + -4x Combine like terms: 8a + -8a = 0 -24a + 16c = 0 + -4x -24a + 16c = -4x Add '-16c' to each side of the equation. -24a + 16c + -16c = -16c + -4x Combine like terms: 16c + -16c = 0 -24a + 0 = -16c + -4x -24a = -16c + -4x Divide each side by '-24'. a = 0.6666666667c + 0.1666666667x Simplifying a = 0.6666666667c + 0.1666666667x
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