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Simplifying 2(6x + 2p) + -3(4y + 2p) + 4(7e + -3x) = 1 Reorder the terms: 2(2p + 6x) + -3(4y + 2p) + 4(7e + -3x) = 1 (2p * 2 + 6x * 2) + -3(4y + 2p) + 4(7e + -3x) = 1 (4p + 12x) + -3(4y + 2p) + 4(7e + -3x) = 1 Reorder the terms: 4p + 12x + -3(2p + 4y) + 4(7e + -3x) = 1 4p + 12x + (2p * -3 + 4y * -3) + 4(7e + -3x) = 1 4p + 12x + (-6p + -12y) + 4(7e + -3x) = 1 4p + 12x + -6p + -12y + (7e * 4 + -3x * 4) = 1 4p + 12x + -6p + -12y + (28e + -12x) = 1 Reorder the terms: 28e + 4p + -6p + 12x + -12x + -12y = 1 Combine like terms: 4p + -6p = -2p 28e + -2p + 12x + -12x + -12y = 1 Combine like terms: 12x + -12x = 0 28e + -2p + 0 + -12y = 1 28e + -2p + -12y = 1 Solving 28e + -2p + -12y = 1 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2p' to each side of the equation. 28e + -2p + 2p + -12y = 1 + 2p Combine like terms: -2p + 2p = 0 28e + 0 + -12y = 1 + 2p 28e + -12y = 1 + 2p Add '12y' to each side of the equation. 28e + -12y + 12y = 1 + 2p + 12y Combine like terms: -12y + 12y = 0 28e + 0 = 1 + 2p + 12y 28e = 1 + 2p + 12y Divide each side by '28'. e = 0.03571428571 + 0.07142857143p + 0.4285714286y Simplifying e = 0.03571428571 + 0.07142857143p + 0.4285714286y
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