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Simplifying 3p + -1 = -5(p + -1) + -2(7 + -2op) Reorder the terms: -1 + 3p = -5(p + -1) + -2(7 + -2op) Reorder the terms: -1 + 3p = -5(-1 + p) + -2(7 + -2op) -1 + 3p = (-1 * -5 + p * -5) + -2(7 + -2op) -1 + 3p = (5 + -5p) + -2(7 + -2op) -1 + 3p = 5 + -5p + (7 * -2 + -2op * -2) -1 + 3p = 5 + -5p + (-14 + 4op) Reorder the terms: -1 + 3p = 5 + -14 + 4op + -5p Combine like terms: 5 + -14 = -9 -1 + 3p = -9 + 4op + -5p Solving -1 + 3p = -9 + 4op + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4op' to each side of the equation. -1 + -4op + 3p = -9 + 4op + -4op + -5p Combine like terms: 4op + -4op = 0 -1 + -4op + 3p = -9 + 0 + -5p -1 + -4op + 3p = -9 + -5p Add '5p' to each side of the equation. -1 + -4op + 3p + 5p = -9 + -5p + 5p Combine like terms: 3p + 5p = 8p -1 + -4op + 8p = -9 + -5p + 5p Combine like terms: -5p + 5p = 0 -1 + -4op + 8p = -9 + 0 -1 + -4op + 8p = -9 Add '1' to each side of the equation. -1 + -4op + 1 + 8p = -9 + 1 Reorder the terms: -1 + 1 + -4op + 8p = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -4op + 8p = -9 + 1 -4op + 8p = -9 + 1 Combine like terms: -9 + 1 = -8 -4op + 8p = -8 Reorder the terms: 8 + -4op + 8p = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -4op + 8p = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -1op + 2p) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1op + 2p)' equal to zero and attempt to solve: Simplifying 2 + -1op + 2p = 0 Solving 2 + -1op + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1op + -2 + 2p = 0 + -2 Reorder the terms: 2 + -2 + -1op + 2p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1op + 2p = 0 + -2 -1op + 2p = 0 + -2 Combine like terms: 0 + -2 = -2 -1op + 2p = -2 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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