p-(p+30)=6(p-5)+4p

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Solution for p-(p+30)=6(p-5)+4p equation:


Simplifying
p + -1(p + 30) = 6(p + -5) + 4p

Reorder the terms:
p + -1(30 + p) = 6(p + -5) + 4p
p + (30 * -1 + p * -1) = 6(p + -5) + 4p
p + (-30 + -1p) = 6(p + -5) + 4p

Reorder the terms:
-30 + p + -1p = 6(p + -5) + 4p

Combine like terms: p + -1p = 0
-30 + 0 = 6(p + -5) + 4p
-30 = 6(p + -5) + 4p

Reorder the terms:
-30 = 6(-5 + p) + 4p
-30 = (-5 * 6 + p * 6) + 4p
-30 = (-30 + 6p) + 4p

Combine like terms: 6p + 4p = 10p
-30 = -30 + 10p

Add '30' to each side of the equation.
-30 + 30 = -30 + 30 + 10p

Combine like terms: -30 + 30 = 0
0 = -30 + 30 + 10p

Combine like terms: -30 + 30 = 0
0 = 0 + 10p
0 = 10p

Solving
0 = 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
0 + -10p = 10p + -10p
Remove the zero:
-10p = 10p + -10p

Combine like terms: 10p + -10p = 0
-10p = 0

Divide each side by '-10'.
p = 0

Simplifying
p = 0

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