7(2p+1)=14pt+7

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Solution for 7(2p+1)=14pt+7 equation:


Simplifying
7(2p + 1) = 14pt + 7

Reorder the terms:
7(1 + 2p) = 14pt + 7
(1 * 7 + 2p * 7) = 14pt + 7
(7 + 14p) = 14pt + 7

Reorder the terms:
7 + 14p = 7 + 14pt

Add '-7' to each side of the equation.
7 + -7 + 14p = 7 + -7 + 14pt

Combine like terms: 7 + -7 = 0
0 + 14p = 7 + -7 + 14pt
14p = 7 + -7 + 14pt

Combine like terms: 7 + -7 = 0
14p = 0 + 14pt
14p = 14pt

Solving
14p = 14pt

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-14pt' to each side of the equation.
14p + -14pt = 14pt + -14pt

Combine like terms: 14pt + -14pt = 0
14p + -14pt = 0

Factor out the Greatest Common Factor (GCF), '14p'.
14p(1 + -1t) = 0

Ignore the factor 14.

Subproblem 1

Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0

Subproblem 2

Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Add 't' to each side of the equation. -1t + t = -1 + t Combine like terms: -1t + t = 0 0 = -1 + t Simplifying 0 = -1 + t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

p = {0}

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