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Simplifying 4a + 1.5 = 5a + -6.2 Reorder the terms: 1.5 + 4a = 5a + -6.2 Reorder the terms: 1.5 + 4a = -6.2 + 5a Solving 1.5 + 4a = -6.2 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 1.5 + 4a + -5a = -6.2 + 5a + -5a Combine like terms: 4a + -5a = -1a 1.5 + -1a = -6.2 + 5a + -5a Combine like terms: 5a + -5a = 0 1.5 + -1a = -6.2 + 0 1.5 + -1a = -6.2 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1a = -6.2 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1a = -6.2 + -1.5 -1a = -6.2 + -1.5 Combine like terms: -6.2 + -1.5 = -7.7 -1a = -7.7 Divide each side by '-1'. a = 7.7 Simplifying a = 7.7
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