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Simplifying 0.8a + -6 = -0.6a + 22 Reorder the terms: -6 + 0.8a = -0.6a + 22 Reorder the terms: -6 + 0.8a = 22 + -0.6a Solving -6 + 0.8a = 22 + -0.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.6a' to each side of the equation. -6 + 0.8a + 0.6a = 22 + -0.6a + 0.6a Combine like terms: 0.8a + 0.6a = 1.4a -6 + 1.4a = 22 + -0.6a + 0.6a Combine like terms: -0.6a + 0.6a = 0.0 -6 + 1.4a = 22 + 0.0 -6 + 1.4a = 22 Add '6' to each side of the equation. -6 + 6 + 1.4a = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 1.4a = 22 + 6 1.4a = 22 + 6 Combine like terms: 22 + 6 = 28 1.4a = 28 Divide each side by '1.4'. a = 20 Simplifying a = 20
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