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Simplifying 0.2(3a + -5) + 6.5 = 4a + -2(a * 3) + -1.8 Reorder the terms: 0.2(-5 + 3a) + 6.5 = 4a + -2(a * 3) + -1.8 (-5 * 0.2 + 3a * 0.2) + 6.5 = 4a + -2(a * 3) + -1.8 (-1 + 0.6a) + 6.5 = 4a + -2(a * 3) + -1.8 Reorder the terms: -1 + 6.5 + 0.6a = 4a + -2(a * 3) + -1.8 Combine like terms: -1 + 6.5 = 5.5 5.5 + 0.6a = 4a + -2(a * 3) + -1.8 Reorder the terms for easier multiplication: 5.5 + 0.6a = 4a + -2(3a) + -1.8 Remove parenthesis around (3a) 5.5 + 0.6a = 4a + -2 * 3a + -1.8 Multiply -2 * 3 5.5 + 0.6a = 4a + -6a + -1.8 Reorder the terms: 5.5 + 0.6a = -1.8 + 4a + -6a Combine like terms: 4a + -6a = -2a 5.5 + 0.6a = -1.8 + -2a Solving 5.5 + 0.6a = -1.8 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 5.5 + 0.6a + 2a = -1.8 + -2a + 2a Combine like terms: 0.6a + 2a = 2.6a 5.5 + 2.6a = -1.8 + -2a + 2a Combine like terms: -2a + 2a = 0 5.5 + 2.6a = -1.8 + 0 5.5 + 2.6a = -1.8 Add '-5.5' to each side of the equation. 5.5 + -5.5 + 2.6a = -1.8 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 2.6a = -1.8 + -5.5 2.6a = -1.8 + -5.5 Combine like terms: -1.8 + -5.5 = -7.3 2.6a = -7.3 Divide each side by '2.6'. a = -2.807692308 Simplifying a = -2.807692308
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