7(6-4p)-8=1+5p

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Solution for 7(6-4p)-8=1+5p equation: 


Simplifying
7(6 + -4p) + -8 = 1 + 5p
(6 * 7 + -4p * 7) + -8 = 1 + 5p
(42 + -28p) + -8 = 1 + 5p

Reorder the terms:
42 + -8 + -28p = 1 + 5p

Combine like terms: 42 + -8 = 34
34 + -28p = 1 + 5p

Solving
34 + -28p = 1 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
34 + -28p + -5p = 1 + 5p + -5p

Combine like terms: -28p + -5p = -33p
34 + -33p = 1 + 5p + -5p

Combine like terms: 5p + -5p = 0
34 + -33p = 1 + 0
34 + -33p = 1

Add '-34' to each side of the equation.
34 + -34 + -33p = 1 + -34

Combine like terms: 34 + -34 = 0
0 + -33p = 1 + -34
-33p = 1 + -34

Combine like terms: 1 + -34 = -33
-33p = -33

Divide each side by '-33'.
p = 1

Simplifying
p = 1

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