-17p-5(3-5p)=4(p-3)-35

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Solution for -17p-5(3-5p)=4(p-3)-35 equation:


Simplifying
-17p + -5(3 + -5p) = 4(p + -3) + -35
-17p + (3 * -5 + -5p * -5) = 4(p + -3) + -35
-17p + (-15 + 25p) = 4(p + -3) + -35

Reorder the terms:
-15 + -17p + 25p = 4(p + -3) + -35

Combine like terms: -17p + 25p = 8p
-15 + 8p = 4(p + -3) + -35

Reorder the terms:
-15 + 8p = 4(-3 + p) + -35
-15 + 8p = (-3 * 4 + p * 4) + -35
-15 + 8p = (-12 + 4p) + -35

Reorder the terms:
-15 + 8p = -12 + -35 + 4p

Combine like terms: -12 + -35 = -47
-15 + 8p = -47 + 4p

Solving
-15 + 8p = -47 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-15 + 8p + -4p = -47 + 4p + -4p

Combine like terms: 8p + -4p = 4p
-15 + 4p = -47 + 4p + -4p

Combine like terms: 4p + -4p = 0
-15 + 4p = -47 + 0
-15 + 4p = -47

Add '15' to each side of the equation.
-15 + 15 + 4p = -47 + 15

Combine like terms: -15 + 15 = 0
0 + 4p = -47 + 15
4p = -47 + 15

Combine like terms: -47 + 15 = -32
4p = -32

Divide each side by '4'.
p = -8

Simplifying
p = -8

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