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Simplifying 16p + -4 = 4(2pm + -3) Reorder the terms: -4 + 16p = 4(2pm + -3) Reorder the terms: -4 + 16p = 4(-3 + 2mp) -4 + 16p = (-3 * 4 + 2mp * 4) -4 + 16p = (-12 + 8mp) Solving -4 + 16p = -12 + 8mp Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8mp' to each side of the equation. -4 + -8mp + 16p = -12 + 8mp + -8mp Combine like terms: 8mp + -8mp = 0 -4 + -8mp + 16p = -12 + 0 -4 + -8mp + 16p = -12 Add '4' to each side of the equation. -4 + -8mp + 4 + 16p = -12 + 4 Reorder the terms: -4 + 4 + -8mp + 16p = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -8mp + 16p = -12 + 4 -8mp + 16p = -12 + 4 Combine like terms: -12 + 4 = -8 -8mp + 16p = -8 Reorder the terms: 8 + -8mp + 16p = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -8mp + 16p = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(1 + -1mp + 2p) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + -1mp + 2p)' equal to zero and attempt to solve: Simplifying 1 + -1mp + 2p = 0 Solving 1 + -1mp + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1mp + -1 + 2p = 0 + -1 Reorder the terms: 1 + -1 + -1mp + 2p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1mp + 2p = 0 + -1 -1mp + 2p = 0 + -1 Combine like terms: 0 + -1 = -1 -1mp + 2p = -1 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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