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Simplifying 2(7dx + y) = 13dx + -4y (7dx * 2 + y * 2) = 13dx + -4y (14dx + 2y) = 13dx + -4y Solving 14dx + 2y = 13dx + -4y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13dx' to each side of the equation. 14dx + -13dx + 2y = 13dx + -13dx + -4y Combine like terms: 14dx + -13dx = 1dx 1dx + 2y = 13dx + -13dx + -4y Combine like terms: 13dx + -13dx = 0 1dx + 2y = 0 + -4y 1dx + 2y = -4y Add '-2y' to each side of the equation. 1dx + 2y + -2y = -4y + -2y Combine like terms: 2y + -2y = 0 1dx + 0 = -4y + -2y 1dx = -4y + -2y Combine like terms: -4y + -2y = -6y 1dx = -6y Divide each side by '1x'. d = -6x-1y Simplifying d = -6x-1y
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