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Simplifying 27 + -4d = -7(1 + 3x) 27 + -4d = (1 * -7 + 3x * -7) 27 + -4d = (-7 + -21x) Solving 27 + -4d = -7 + -21x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -4d = -7 + -27 + -21x Combine like terms: 27 + -27 = 0 0 + -4d = -7 + -27 + -21x -4d = -7 + -27 + -21x Combine like terms: -7 + -27 = -34 -4d = -34 + -21x Divide each side by '-4'. d = 8.5 + 5.25x Simplifying d = 8.5 + 5.25x
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