6+4(-14z+16)=7(-13z-15)

Solution for 6+4(-14z+16)=7(-13z-15) equation:

Simplifying
6 + 4(-14z + 16) = 7(-13z + -15)

Reorder the terms:
6 + 4(16 + -14z) = 7(-13z + -15)
6 + (16 * 4 + -14z * 4) = 7(-13z + -15)
6 + (64 + -56z) = 7(-13z + -15)

Combine like terms: 6 + 64 = 70
70 + -56z = 7(-13z + -15)

Reorder the terms:
70 + -56z = 7(-15 + -13z)
70 + -56z = (-15 * 7 + -13z * 7)
70 + -56z = (-105 + -91z)

Solving
70 + -56z = -105 + -91z

Solving for variable 'z'.

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

Add '91z' to each side of the equation.
70 + -56z + 91z = -105 + -91z + 91z

Combine like terms: -56z + 91z = 35z
70 + 35z = -105 + -91z + 91z

Combine like terms: -91z + 91z = 0
70 + 35z = -105 + 0
70 + 35z = -105

Add '-70' to each side of the equation.
70 + -70 + 35z = -105 + -70

Combine like terms: 70 + -70 = 0
0 + 35z = -105 + -70
35z = -105 + -70

Combine like terms: -105 + -70 = -175
35z = -175

Divide each side by '35'.
z = -5

Simplifying
z = -5