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Simplifying 1.285(a + 3) = 4 + 1.25a Reorder the terms: 1.285(3 + a) = 4 + 1.25a (3 * 1.285 + a * 1.285) = 4 + 1.25a (3.855 + 1.285a) = 4 + 1.25a Solving 3.855 + 1.285a = 4 + 1.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.25a' to each side of the equation. 3.855 + 1.285a + -1.25a = 4 + 1.25a + -1.25a Combine like terms: 1.285a + -1.25a = 0.035a 3.855 + 0.035a = 4 + 1.25a + -1.25a Combine like terms: 1.25a + -1.25a = 0.00 3.855 + 0.035a = 4 + 0.00 3.855 + 0.035a = 4 Add '-3.855' to each side of the equation. 3.855 + -3.855 + 0.035a = 4 + -3.855 Combine like terms: 3.855 + -3.855 = 0.000 0.000 + 0.035a = 4 + -3.855 0.035a = 4 + -3.855 Combine like terms: 4 + -3.855 = 0.145 0.035a = 0.145 Divide each side by '0.035'. a = 4.142857143 Simplifying a = 4.142857143
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