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Simplifying -4p + -7 = 5pm + 11 Reorder the terms: -7 + -4p = 5pm + 11 Reorder the terms: -7 + -4p = 11 + 5mp Solving -7 + -4p = 11 + 5mp Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5mp' to each side of the equation. -7 + -5mp + -4p = 11 + 5mp + -5mp Combine like terms: 5mp + -5mp = 0 -7 + -5mp + -4p = 11 + 0 -7 + -5mp + -4p = 11 Add '7' to each side of the equation. -7 + -5mp + 7 + -4p = 11 + 7 Reorder the terms: -7 + 7 + -5mp + -4p = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -5mp + -4p = 11 + 7 -5mp + -4p = 11 + 7 Combine like terms: 11 + 7 = 18 -5mp + -4p = 18 Reorder the terms: -18 + -5mp + -4p = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -5mp + -4p = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 5mp + 4p) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(18 + 5mp + 4p)' equal to zero and attempt to solve: Simplifying 18 + 5mp + 4p = 0 Solving 18 + 5mp + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 5mp + -18 + 4p = 0 + -18 Reorder the terms: 18 + -18 + 5mp + 4p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5mp + 4p = 0 + -18 5mp + 4p = 0 + -18 Combine like terms: 0 + -18 = -18 5mp + 4p = -18 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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