4p-6+6(p+1)=-(6p-7)

Solution for 4p-6+6(p+1)=-(6p-7) equation:

Simplifying
4p + -6 + 6(p + 1) = -1(6p + -7)

Reorder the terms:
4p + -6 + 6(1 + p) = -1(6p + -7)
4p + -6 + (1 * 6 + p * 6) = -1(6p + -7)
4p + -6 + (6 + 6p) = -1(6p + -7)

Reorder the terms:
-6 + 6 + 4p + 6p = -1(6p + -7)

Combine like terms: -6 + 6 = 0
0 + 4p + 6p = -1(6p + -7)
4p + 6p = -1(6p + -7)

Combine like terms: 4p + 6p = 10p
10p = -1(6p + -7)

Reorder the terms:
10p = -1(-7 + 6p)
10p = (-7 * -1 + 6p * -1)
10p = (7 + -6p)

Solving
10p = 7 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
10p + 6p = 7 + -6p + 6p

Combine like terms: 10p + 6p = 16p
16p = 7 + -6p + 6p

Combine like terms: -6p + 6p = 0
16p = 7 + 0
16p = 7

Divide each side by '16'.
p = 0.4375

Simplifying
p = 0.4375