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Simplifying 7(5dx + y) = 34dx + -8y (5dx * 7 + y * 7) = 34dx + -8y (35dx + 7y) = 34dx + -8y Solving 35dx + 7y = 34dx + -8y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-34dx' to each side of the equation. 35dx + -34dx + 7y = 34dx + -34dx + -8y Combine like terms: 35dx + -34dx = 1dx 1dx + 7y = 34dx + -34dx + -8y Combine like terms: 34dx + -34dx = 0 1dx + 7y = 0 + -8y 1dx + 7y = -8y Add '-7y' to each side of the equation. 1dx + 7y + -7y = -8y + -7y Combine like terms: 7y + -7y = 0 1dx + 0 = -8y + -7y 1dx = -8y + -7y Combine like terms: -8y + -7y = -15y 1dx = -15y Divide each side by '1x'. d = -15x-1y Simplifying d = -15x-1y
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