6p-4(3p-9)=-5p+1

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Solution for 6p-4(3p-9)=-5p+1 equation: 


Simplifying
6p + -4(3p + -9) = -5p + 1

Reorder the terms:
6p + -4(-9 + 3p) = -5p + 1
6p + (-9 * -4 + 3p * -4) = -5p + 1
6p + (36 + -12p) = -5p + 1

Reorder the terms:
36 + 6p + -12p = -5p + 1

Combine like terms: 6p + -12p = -6p
36 + -6p = -5p + 1

Reorder the terms:
36 + -6p = 1 + -5p

Solving
36 + -6p = 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.
36 + -6p + 5p = 1 + -5p + 5p

Combine like terms: -6p + 5p = -1p
36 + -1p = 1 + -5p + 5p

Combine like terms: -5p + 5p = 0
36 + -1p = 1 + 0
36 + -1p = 1

Add '-36' to each side of the equation.
36 + -36 + -1p = 1 + -36

Combine like terms: 36 + -36 = 0
0 + -1p = 1 + -36
-1p = 1 + -36

Combine like terms: 1 + -36 = -35
-1p = -35

Divide each side by '-1'.
p = 35

Simplifying
p = 35

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