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Simplifying 0.3(a + 4) + 0.2 = 0.2(a + -1) + 0.1a + 1.9 Reorder the terms: 0.3(4 + a) + 0.2 = 0.2(a + -1) + 0.1a + 1.9 (4 * 0.3 + a * 0.3) + 0.2 = 0.2(a + -1) + 0.1a + 1.9 (1.2 + 0.3a) + 0.2 = 0.2(a + -1) + 0.1a + 1.9 Reorder the terms: 1.2 + 0.2 + 0.3a = 0.2(a + -1) + 0.1a + 1.9 Combine like terms: 1.2 + 0.2 = 1.4 1.4 + 0.3a = 0.2(a + -1) + 0.1a + 1.9 Reorder the terms: 1.4 + 0.3a = 0.2(-1 + a) + 0.1a + 1.9 1.4 + 0.3a = (-1 * 0.2 + a * 0.2) + 0.1a + 1.9 1.4 + 0.3a = (-0.2 + 0.2a) + 0.1a + 1.9 Reorder the terms: 1.4 + 0.3a = -0.2 + 1.9 + 0.2a + 0.1a Combine like terms: -0.2 + 1.9 = 1.7 1.4 + 0.3a = 1.7 + 0.2a + 0.1a Combine like terms: 0.2a + 0.1a = 0.3a 1.4 + 0.3a = 1.7 + 0.3a Add '-0.3a' to each side of the equation. 1.4 + 0.3a + -0.3a = 1.7 + 0.3a + -0.3a Combine like terms: 0.3a + -0.3a = 0.0 1.4 + 0.0 = 1.7 + 0.3a + -0.3a 1.4 = 1.7 + 0.3a + -0.3a Combine like terms: 0.3a + -0.3a = 0.0 1.4 = 1.7 + 0.0 1.4 = 1.7 Solving 1.4 = 1.7 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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