34=-6(-4p-1)-7(-3p-4)

Solution for 34=-6(-4p-1)-7(-3p-4) equation:

Simplifying
34 = -6(-4p + -1) + -7(-3p + -4)

Reorder the terms:
34 = -6(-1 + -4p) + -7(-3p + -4)
34 = (-1 * -6 + -4p * -6) + -7(-3p + -4)
34 = (6 + 24p) + -7(-3p + -4)

Reorder the terms:
34 = 6 + 24p + -7(-4 + -3p)
34 = 6 + 24p + (-4 * -7 + -3p * -7)
34 = 6 + 24p + (28 + 21p)

Reorder the terms:
34 = 6 + 28 + 24p + 21p

Combine like terms: 6 + 28 = 34
34 = 34 + 24p + 21p

Combine like terms: 24p + 21p = 45p
34 = 34 + 45p

Add '-34' to each side of the equation.
34 + -34 = 34 + -34 + 45p

Combine like terms: 34 + -34 = 0
0 = 34 + -34 + 45p

Combine like terms: 34 + -34 = 0
0 = 0 + 45p
0 = 45p

Solving
0 = 45p

Solving for variable 'p'.

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

Add '-45p' to each side of the equation.
0 + -45p = 45p + -45p
Remove the zero:
-45p = 45p + -45p

Combine like terms: 45p + -45p = 0
-45p = 0

Divide each side by '-45'.
p = 0

Simplifying
p = 0