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Simplifying 16(x + -1a) = 4(3a + -1x) Reorder the terms: 16(-1a + x) = 4(3a + -1x) (-1a * 16 + x * 16) = 4(3a + -1x) (-16a + 16x) = 4(3a + -1x) -16a + 16x = (3a * 4 + -1x * 4) -16a + 16x = (12a + -4x) Solving -16a + 16x = 12a + -4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -16a + -12a + 16x = 12a + -12a + -4x Combine like terms: -16a + -12a = -28a -28a + 16x = 12a + -12a + -4x Combine like terms: 12a + -12a = 0 -28a + 16x = 0 + -4x -28a + 16x = -4x Add '-16x' to each side of the equation. -28a + 16x + -16x = -4x + -16x Combine like terms: 16x + -16x = 0 -28a + 0 = -4x + -16x -28a = -4x + -16x Combine like terms: -4x + -16x = -20x -28a = -20x Divide each side by '-28'. a = 0.7142857143x Simplifying a = 0.7142857143x
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