6p+6-6(p+1)=-(3p+7)

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Solution for 6p+6-6(p+1)=-(3p+7) equation:


Simplifying
6p + 6 + -6(p + 1) = -1(3p + 7)

Reorder the terms:
6p + 6 + -6(1 + p) = -1(3p + 7)
6p + 6 + (1 * -6 + p * -6) = -1(3p + 7)
6p + 6 + (-6 + -6p) = -1(3p + 7)

Reorder the terms:
6 + -6 + 6p + -6p = -1(3p + 7)

Combine like terms: 6 + -6 = 0
0 + 6p + -6p = -1(3p + 7)
6p + -6p = -1(3p + 7)

Combine like terms: 6p + -6p = 0
0 = -1(3p + 7)

Reorder the terms:
0 = -1(7 + 3p)
0 = (7 * -1 + 3p * -1)
0 = (-7 + -3p)

Solving
0 = -7 + -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.
0 + 3p = -7 + -3p + 3p
Remove the zero:
3p = -7 + -3p + 3p

Combine like terms: -3p + 3p = 0
3p = -7 + 0
3p = -7

Divide each side by '3'.
p = -2.333333333

Simplifying
p = -2.333333333

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