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Simplifying -4(3 + -6d) = 9(sd + -1s) (3 * -4 + -6d * -4) = 9(sd + -1s) (-12 + 24d) = 9(sd + -1s) -12 + 24d = (ds * 9 + -1s * 9) -12 + 24d = (9ds + -9s) Solving -12 + 24d = 9ds + -9s Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9ds' to each side of the equation. -12 + 24d + -9ds = 9ds + -9ds + -9s Combine like terms: 9ds + -9ds = 0 -12 + 24d + -9ds = 0 + -9s -12 + 24d + -9ds = -9s Add '12' to each side of the equation. -12 + 24d + 12 + -9ds = 12 + -9s Reorder the terms: -12 + 12 + 24d + -9ds = 12 + -9s Combine like terms: -12 + 12 = 0 0 + 24d + -9ds = 12 + -9s 24d + -9ds = 12 + -9s Reorder the terms: -12 + 24d + -9ds + 9s = 12 + -9s + -12 + 9s Reorder the terms: -12 + 24d + -9ds + 9s = 12 + -12 + -9s + 9s Combine like terms: 12 + -12 = 0 -12 + 24d + -9ds + 9s = 0 + -9s + 9s -12 + 24d + -9ds + 9s = -9s + 9s Combine like terms: -9s + 9s = 0 -12 + 24d + -9ds + 9s = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 8d + -3ds + 3s) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + 8d + -3ds + 3s)' equal to zero and attempt to solve: Simplifying -4 + 8d + -3ds + 3s = 0 Solving -4 + 8d + -3ds + 3s = 0 Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 8d + -3ds + 4 + 3s = 0 + 4 Reorder the terms: -4 + 4 + 8d + -3ds + 3s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8d + -3ds + 3s = 0 + 4 8d + -3ds + 3s = 0 + 4 Combine like terms: 0 + 4 = 4 8d + -3ds + 3s = 4 Add '-3s' to each side of the equation. 8d + -3ds + 3s + -3s = 4 + -3s Combine like terms: 3s + -3s = 0 8d + -3ds + 0 = 4 + -3s 8d + -3ds = 4 + -3s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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