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Simplifying a + 0.3 = 2a + -1.7 + -0.5a Reorder the terms: 0.3 + a = 2a + -1.7 + -0.5a Reorder the terms: 0.3 + a = -1.7 + 2a + -0.5a Combine like terms: 2a + -0.5a = 1.5a 0.3 + a = -1.7 + 1.5a Solving 0.3 + a = -1.7 + 1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5a' to each side of the equation. 0.3 + a + -1.5a = -1.7 + 1.5a + -1.5a Combine like terms: a + -1.5a = -0.5a 0.3 + -0.5a = -1.7 + 1.5a + -1.5a Combine like terms: 1.5a + -1.5a = 0.0 0.3 + -0.5a = -1.7 + 0.0 0.3 + -0.5a = -1.7 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.5a = -1.7 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.5a = -1.7 + -0.3 -0.5a = -1.7 + -0.3 Combine like terms: -1.7 + -0.3 = -2 -0.5a = -2 Divide each side by '-0.5'. a = 4 Simplifying a = 4
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