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Simplifying 3.2a + 16 = 6a + -2a + 4 Reorder the terms: 16 + 3.2a = 6a + -2a + 4 Reorder the terms: 16 + 3.2a = 4 + 6a + -2a Combine like terms: 6a + -2a = 4a 16 + 3.2a = 4 + 4a Solving 16 + 3.2a = 4 + 4a 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. 16 + 3.2a + -4a = 4 + 4a + -4a Combine like terms: 3.2a + -4a = -0.8a 16 + -0.8a = 4 + 4a + -4a Combine like terms: 4a + -4a = 0 16 + -0.8a = 4 + 0 16 + -0.8a = 4 Add '-16' to each side of the equation. 16 + -16 + -0.8a = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -0.8a = 4 + -16 -0.8a = 4 + -16 Combine like terms: 4 + -16 = -12 -0.8a = -12 Divide each side by '-0.8'. a = 15 Simplifying a = 15
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