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Simplifying 8(3dx + y) = 23dx + -5y (3dx * 8 + y * 8) = 23dx + -5y (24dx + 8y) = 23dx + -5y Solving 24dx + 8y = 23dx + -5y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-23dx' to each side of the equation. 24dx + -23dx + 8y = 23dx + -23dx + -5y Combine like terms: 24dx + -23dx = 1dx 1dx + 8y = 23dx + -23dx + -5y Combine like terms: 23dx + -23dx = 0 1dx + 8y = 0 + -5y 1dx + 8y = -5y Add '-8y' to each side of the equation. 1dx + 8y + -8y = -5y + -8y Combine like terms: 8y + -8y = 0 1dx + 0 = -5y + -8y 1dx = -5y + -8y Combine like terms: -5y + -8y = -13y 1dx = -13y Divide each side by '1x'. d = -13x-1y Simplifying d = -13x-1y
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