-21=-3(3+3p)+6(p-1)

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Solution for -21=-3(3+3p)+6(p-1) equation: 


Simplifying
-21 = -3(3 + 3p) + 6(p + -1)
-21 = (3 * -3 + 3p * -3) + 6(p + -1)
-21 = (-9 + -9p) + 6(p + -1)

Reorder the terms:
-21 = -9 + -9p + 6(-1 + p)
-21 = -9 + -9p + (-1 * 6 + p * 6)
-21 = -9 + -9p + (-6 + 6p)

Reorder the terms:
-21 = -9 + -6 + -9p + 6p

Combine like terms: -9 + -6 = -15
-21 = -15 + -9p + 6p

Combine like terms: -9p + 6p = -3p
-21 = -15 + -3p

Solving
-21 = -15 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
-21 + 3p = -15 + -3p + 3p

Combine like terms: -3p + 3p = 0
-21 + 3p = -15 + 0
-21 + 3p = -15

Add '21' to each side of the equation.
-21 + 21 + 3p = -15 + 21

Combine like terms: -21 + 21 = 0
0 + 3p = -15 + 21
3p = -15 + 21

Combine like terms: -15 + 21 = 6
3p = 6

Divide each side by '3'.
p = 2

Simplifying
p = 2

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