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Simplifying 0.25(3a + -5) + 6.5 = 4a + -2(a * 3) + -1.8 Reorder the terms: 0.25(-5 + 3a) + 6.5 = 4a + -2(a * 3) + -1.8 (-5 * 0.25 + 3a * 0.25) + 6.5 = 4a + -2(a * 3) + -1.8 (-1.25 + 0.75a) + 6.5 = 4a + -2(a * 3) + -1.8 Reorder the terms: -1.25 + 6.5 + 0.75a = 4a + -2(a * 3) + -1.8 Combine like terms: -1.25 + 6.5 = 5.25 5.25 + 0.75a = 4a + -2(a * 3) + -1.8 Reorder the terms for easier multiplication: 5.25 + 0.75a = 4a + -2(3a) + -1.8 Remove parenthesis around (3a) 5.25 + 0.75a = 4a + -2 * 3a + -1.8 Multiply -2 * 3 5.25 + 0.75a = 4a + -6a + -1.8 Reorder the terms: 5.25 + 0.75a = -1.8 + 4a + -6a Combine like terms: 4a + -6a = -2a 5.25 + 0.75a = -1.8 + -2a Solving 5.25 + 0.75a = -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. 5.25 + 0.75a + 2a = -1.8 + -2a + 2a Combine like terms: 0.75a + 2a = 2.75a 5.25 + 2.75a = -1.8 + -2a + 2a Combine like terms: -2a + 2a = 0 5.25 + 2.75a = -1.8 + 0 5.25 + 2.75a = -1.8 Add '-5.25' to each side of the equation. 5.25 + -5.25 + 2.75a = -1.8 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + 2.75a = -1.8 + -5.25 2.75a = -1.8 + -5.25 Combine like terms: -1.8 + -5.25 = -7.05 2.75a = -7.05 Divide each side by '2.75'. a = -2.563636364 Simplifying a = -2.563636364
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