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Simplifying -4(3 + -6d) = 99 + -7(3 + -4x) (3 * -4 + -6d * -4) = 99 + -7(3 + -4x) (-12 + 24d) = 99 + -7(3 + -4x) -12 + 24d = 99 + (3 * -7 + -4x * -7) -12 + 24d = 99 + (-21 + 28x) Combine like terms: 99 + -21 = 78 -12 + 24d = 78 + 28x Solving -12 + 24d = 78 + 28x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 24d = 78 + 12 + 28x Combine like terms: -12 + 12 = 0 0 + 24d = 78 + 12 + 28x 24d = 78 + 12 + 28x Combine like terms: 78 + 12 = 90 24d = 90 + 28x Divide each side by '24'. d = 3.75 + 1.166666667x Simplifying d = 3.75 + 1.166666667x
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