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Simplifying -1(7x + 2y + -1e) + (-2x + 4y + e) = 0 Reorder the terms: -1(-1e + 7x + 2y) + (-2x + 4y + e) = 0 (-1e * -1 + 7x * -1 + 2y * -1) + (-2x + 4y + e) = 0 (1e + -7x + -2y) + (-2x + 4y + e) = 0 Reorder the terms: 1e + -7x + -2y + (e + -2x + 4y) = 0 Remove parenthesis around (e + -2x + 4y) 1e + -7x + -2y + e + -2x + 4y = 0 Reorder the terms: 1e + e + -7x + -2x + -2y + 4y = 0 Combine like terms: 1e + e = 2e 2e + -7x + -2x + -2y + 4y = 0 Combine like terms: -7x + -2x = -9x 2e + -9x + -2y + 4y = 0 Combine like terms: -2y + 4y = 2y 2e + -9x + 2y = 0 Solving 2e + -9x + 2y = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '9x' to each side of the equation. 2e + -9x + 9x + 2y = 0 + 9x Combine like terms: -9x + 9x = 0 2e + 0 + 2y = 0 + 9x 2e + 2y = 0 + 9x Remove the zero: 2e + 2y = 9x Add '-2y' to each side of the equation. 2e + 2y + -2y = 9x + -2y Combine like terms: 2y + -2y = 0 2e + 0 = 9x + -2y 2e = 9x + -2y Divide each side by '2'. e = 4.5x + -1y Simplifying e = 4.5x + -1y
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