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Simplifying 16(x + -1a) = 4(2x + -1a) Reorder the terms: 16(-1a + x) = 4(2x + -1a) (-1a * 16 + x * 16) = 4(2x + -1a) (-16a + 16x) = 4(2x + -1a) Reorder the terms: -16a + 16x = 4(-1a + 2x) -16a + 16x = (-1a * 4 + 2x * 4) -16a + 16x = (-4a + 8x) Solving -16a + 16x = -4a + 8x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -16a + 4a + 16x = -4a + 4a + 8x Combine like terms: -16a + 4a = -12a -12a + 16x = -4a + 4a + 8x Combine like terms: -4a + 4a = 0 -12a + 16x = 0 + 8x -12a + 16x = 8x Add '-16x' to each side of the equation. -12a + 16x + -16x = 8x + -16x Combine like terms: 16x + -16x = 0 -12a + 0 = 8x + -16x -12a = 8x + -16x Combine like terms: 8x + -16x = -8x -12a = -8x Divide each side by '-12'. a = 0.6666666667x Simplifying a = 0.6666666667x
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