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Simplifying 2x + 1y + 3a + 2b + 4e = 5y Reorder the terms: 3a + 2b + 4e + 2x + 1y = 5y Solving 3a + 2b + 4e + 2x + 1y = 5y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 3a + 2b + 4e + 2x + -2b + 1y = -2b + 5y Reorder the terms: 3a + 2b + -2b + 4e + 2x + 1y = -2b + 5y Combine like terms: 2b + -2b = 0 3a + 0 + 4e + 2x + 1y = -2b + 5y 3a + 4e + 2x + 1y = -2b + 5y Add '-4e' to each side of the equation. 3a + 4e + 2x + -4e + 1y = -2b + -4e + 5y Reorder the terms: 3a + 4e + -4e + 2x + 1y = -2b + -4e + 5y Combine like terms: 4e + -4e = 0 3a + 0 + 2x + 1y = -2b + -4e + 5y 3a + 2x + 1y = -2b + -4e + 5y Add '-2x' to each side of the equation. 3a + 2x + -2x + 1y = -2b + -4e + -2x + 5y Combine like terms: 2x + -2x = 0 3a + 0 + 1y = -2b + -4e + -2x + 5y 3a + 1y = -2b + -4e + -2x + 5y Add '-1y' to each side of the equation. 3a + 1y + -1y = -2b + -4e + -2x + 5y + -1y Combine like terms: 1y + -1y = 0 3a + 0 = -2b + -4e + -2x + 5y + -1y 3a = -2b + -4e + -2x + 5y + -1y Combine like terms: 5y + -1y = 4y 3a = -2b + -4e + -2x + 4y Divide each side by '3'. a = -0.6666666667b + -1.333333333e + -0.6666666667x + 1.333333333y Simplifying a = -0.6666666667b + -1.333333333e + -0.6666666667x + 1.333333333y
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