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Simplifying 3y(4d) + -8 + -2d = 22 Remove parenthesis around (4d) 3y * 4d + -8 + -2d = 22 Reorder the terms for easier multiplication: 3 * 4y * d + -8 + -2d = 22 Multiply 3 * 4 12y * d + -8 + -2d = 22 Multiply y * d 12dy + -8 + -2d = 22 Reorder the terms: -8 + -2d + 12dy = 22 Solving -8 + -2d + 12dy = 22 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 + -2d + 8 + 12dy = 22 + 8 Reorder the terms: -8 + 8 + -2d + 12dy = 22 + 8 Combine like terms: -8 + 8 = 0 0 + -2d + 12dy = 22 + 8 -2d + 12dy = 22 + 8 Combine like terms: 22 + 8 = 30 -2d + 12dy = 30 Reorder the terms: -30 + -2d + 12dy = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -2d + 12dy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + -1d + 6dy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + -1d + 6dy)' equal to zero and attempt to solve: Simplifying -15 + -1d + 6dy = 0 Solving -15 + -1d + 6dy = 0 Move all terms containing d to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -1d + 15 + 6dy = 0 + 15 Reorder the terms: -15 + 15 + -1d + 6dy = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1d + 6dy = 0 + 15 -1d + 6dy = 0 + 15 Combine like terms: 0 + 15 = 15 -1d + 6dy = 15 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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