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Simplifying 3d(9 + -8x + -4x) + 8(3x + 4) = 11 Combine like terms: -8x + -4x = -12x 3d(9 + -12x) + 8(3x + 4) = 11 (9 * 3d + -12x * 3d) + 8(3x + 4) = 11 (27d + -36dx) + 8(3x + 4) = 11 Reorder the terms: 27d + -36dx + 8(4 + 3x) = 11 27d + -36dx + (4 * 8 + 3x * 8) = 11 27d + -36dx + (32 + 24x) = 11 Reorder the terms: 32 + 27d + -36dx + 24x = 11 Solving 32 + 27d + -36dx + 24x = 11 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 27d + -36dx + -32 + 24x = 11 + -32 Reorder the terms: 32 + -32 + 27d + -36dx + 24x = 11 + -32 Combine like terms: 32 + -32 = 0 0 + 27d + -36dx + 24x = 11 + -32 27d + -36dx + 24x = 11 + -32 Combine like terms: 11 + -32 = -21 27d + -36dx + 24x = -21 Add '-24x' to each side of the equation. 27d + -36dx + 24x + -24x = -21 + -24x Combine like terms: 24x + -24x = 0 27d + -36dx + 0 = -21 + -24x 27d + -36dx = -21 + -24x Reorder the terms: 21 + 27d + -36dx + 24x = -21 + -24x + 21 + 24x Reorder the terms: 21 + 27d + -36dx + 24x = -21 + 21 + -24x + 24x Combine like terms: -21 + 21 = 0 21 + 27d + -36dx + 24x = 0 + -24x + 24x 21 + 27d + -36dx + 24x = -24x + 24x Combine like terms: -24x + 24x = 0 21 + 27d + -36dx + 24x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(7 + 9d + -12dx + 8x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + 9d + -12dx + 8x)' equal to zero and attempt to solve: Simplifying 7 + 9d + -12dx + 8x = 0 Solving 7 + 9d + -12dx + 8x = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 9d + -12dx + -7 + 8x = 0 + -7 Reorder the terms: 7 + -7 + 9d + -12dx + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9d + -12dx + 8x = 0 + -7 9d + -12dx + 8x = 0 + -7 Combine like terms: 0 + -7 = -7 9d + -12dx + 8x = -7 Add '-8x' to each side of the equation. 9d + -12dx + 8x + -8x = -7 + -8x Combine like terms: 8x + -8x = 0 9d + -12dx + 0 = -7 + -8x 9d + -12dx = -7 + -8x 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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