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Simplifying 4d(x + 3) + 8 = -4 Reorder the terms: 4d(3 + x) + 8 = -4 (3 * 4d + x * 4d) + 8 = -4 (12d + 4dx) + 8 = -4 Reorder the terms: 8 + 12d + 4dx = -4 Solving 8 + 12d + 4dx = -4 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 12d + -8 + 4dx = -4 + -8 Reorder the terms: 8 + -8 + 12d + 4dx = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 12d + 4dx = -4 + -8 12d + 4dx = -4 + -8 Combine like terms: -4 + -8 = -12 12d + 4dx = -12 Reorder the terms: 12 + 12d + 4dx = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 12d + 4dx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + 3d + dx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + 3d + dx)' equal to zero and attempt to solve: Simplifying 3 + 3d + dx = 0 Solving 3 + 3d + dx = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3d + -3 + dx = 0 + -3 Reorder the terms: 3 + -3 + 3d + dx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3d + dx = 0 + -3 3d + dx = 0 + -3 Combine like terms: 0 + -3 = -3 3d + dx = -3 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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