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Simplifying 9[Bd + -5] + 13 = 12d + -2 Reorder the terms: 9[-5 + dB] + 13 = 12d + -2 [-5 * 9 + dB * 9] + 13 = 12d + -2 [-45 + 9dB] + 13 = 12d + -2 Reorder the terms: -45 + 13 + 9dB = 12d + -2 Combine like terms: -45 + 13 = -32 -32 + 9dB = 12d + -2 Reorder the terms: -32 + 9dB = -2 + 12d Solving -32 + 9dB = -2 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -32 + -12d + 9dB = -2 + 12d + -12d Combine like terms: 12d + -12d = 0 -32 + -12d + 9dB = -2 + 0 -32 + -12d + 9dB = -2 Add '32' to each side of the equation. -32 + -12d + 32 + 9dB = -2 + 32 Reorder the terms: -32 + 32 + -12d + 9dB = -2 + 32 Combine like terms: -32 + 32 = 0 0 + -12d + 9dB = -2 + 32 -12d + 9dB = -2 + 32 Combine like terms: -2 + 32 = 30 -12d + 9dB = 30 Reorder the terms: -30 + -12d + 9dB = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -12d + 9dB = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + -4d + 3dB) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + -4d + 3dB)' equal to zero and attempt to solve: Simplifying -10 + -4d + 3dB = 0 Solving -10 + -4d + 3dB = 0 Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -4d + 10 + 3dB = 0 + 10 Reorder the terms: -10 + 10 + -4d + 3dB = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4d + 3dB = 0 + 10 -4d + 3dB = 0 + 10 Combine like terms: 0 + 10 = 10 -4d + 3dB = 10 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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