7(1-p)=-2(1-3p)

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Solution for 7(1-p)=-2(1-3p) equation:


Simplifying
7(1 + -1p) = -2(1 + -3p)
(1 * 7 + -1p * 7) = -2(1 + -3p)
(7 + -7p) = -2(1 + -3p)
7 + -7p = (1 * -2 + -3p * -2)
7 + -7p = (-2 + 6p)

Solving
7 + -7p = -2 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
7 + -7p + -6p = -2 + 6p + -6p

Combine like terms: -7p + -6p = -13p
7 + -13p = -2 + 6p + -6p

Combine like terms: 6p + -6p = 0
7 + -13p = -2 + 0
7 + -13p = -2

Add '-7' to each side of the equation.
7 + -7 + -13p = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -13p = -2 + -7
-13p = -2 + -7

Combine like terms: -2 + -7 = -9
-13p = -9

Divide each side by '-13'.
p = 0.6923076923

Simplifying
p = 0.6923076923

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