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Simplifying -2(-15x + 5x + 2z + 3e) = 0 Reorder the terms: -2(3e + -15x + 5x + 2z) = 0 Combine like terms: -15x + 5x = -10x -2(3e + -10x + 2z) = 0 (3e * -2 + -10x * -2 + 2z * -2) = 0 (-6e + 20x + -4z) = 0 Solving -6e + 20x + -4z = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-20x' to each side of the equation. -6e + 20x + -20x + -4z = 0 + -20x Combine like terms: 20x + -20x = 0 -6e + 0 + -4z = 0 + -20x -6e + -4z = 0 + -20x Remove the zero: -6e + -4z = -20x Add '4z' to each side of the equation. -6e + -4z + 4z = -20x + 4z Combine like terms: -4z + 4z = 0 -6e + 0 = -20x + 4z -6e = -20x + 4z Divide each side by '-6'. e = 3.333333333x + -0.6666666667z Simplifying e = 3.333333333x + -0.6666666667z
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