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Simplifying -1p(51 + z) = dz + 84 (51 * -1p + z * -1p) = dz + 84 (-51p + -1pz) = dz + 84 Reorder the terms: -51p + -1pz = 84 + dz Solving -51p + -1pz = 84 + dz Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Reorder the terms: -84 + -1dz + -51p + -1pz = 84 + dz + -84 + -1dz Reorder the terms: -84 + -1dz + -51p + -1pz = 84 + -84 + dz + -1dz Combine like terms: 84 + -84 = 0 -84 + -1dz + -51p + -1pz = 0 + dz + -1dz -84 + -1dz + -51p + -1pz = dz + -1dz Combine like terms: dz + -1dz = 0 -84 + -1dz + -51p + -1pz = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(84 + dz + 51p + pz) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(84 + dz + 51p + pz)' equal to zero and attempt to solve: Simplifying 84 + dz + 51p + pz = 0 Solving 84 + dz + 51p + pz = 0 Move all terms containing p to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + dz + 51p + -84 + pz = 0 + -84 Reorder the terms: 84 + -84 + dz + 51p + pz = 0 + -84 Combine like terms: 84 + -84 = 0 0 + dz + 51p + pz = 0 + -84 dz + 51p + pz = 0 + -84 Combine like terms: 0 + -84 = -84 dz + 51p + pz = -84 Add '-1dz' to each side of the equation. dz + 51p + -1dz + pz = -84 + -1dz Reorder the terms: dz + -1dz + 51p + pz = -84 + -1dz Combine like terms: dz + -1dz = 0 0 + 51p + pz = -84 + -1dz 51p + pz = -84 + -1dz 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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