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Simplifying -4a + -2b + 28 = 3x + 1 Reorder the terms: 28 + -4a + -2b = 3x + 1 Reorder the terms: 28 + -4a + -2b = 1 + 3x Solving 28 + -4a + -2b = 1 + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -4a + -28 + -2b = 1 + -28 + 3x Reorder the terms: 28 + -28 + -4a + -2b = 1 + -28 + 3x Combine like terms: 28 + -28 = 0 0 + -4a + -2b = 1 + -28 + 3x -4a + -2b = 1 + -28 + 3x Combine like terms: 1 + -28 = -27 -4a + -2b = -27 + 3x Add '2b' to each side of the equation. -4a + -2b + 2b = -27 + 2b + 3x Combine like terms: -2b + 2b = 0 -4a + 0 = -27 + 2b + 3x -4a = -27 + 2b + 3x Divide each side by '-4'. a = 6.75 + -0.5b + -0.75x Simplifying a = 6.75 + -0.5b + -0.75x
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