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Simplifying 3.5a + -2 = -0.5a + 4 Reorder the terms: -2 + 3.5a = -0.5a + 4 Reorder the terms: -2 + 3.5a = 4 + -0.5a Solving -2 + 3.5a = 4 + -0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.5a' to each side of the equation. -2 + 3.5a + 0.5a = 4 + -0.5a + 0.5a Combine like terms: 3.5a + 0.5a = 4a -2 + 4a = 4 + -0.5a + 0.5a Combine like terms: -0.5a + 0.5a = 0.0 -2 + 4a = 4 + 0.0 -2 + 4a = 4 Add '2' to each side of the equation. -2 + 2 + 4a = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 4a = 4 + 2 4a = 4 + 2 Combine like terms: 4 + 2 = 6 4a = 6 Divide each side by '4'. a = 1.5 Simplifying a = 1.5
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