3(z-(6z+35)+10)=4(z+5)

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Solution for 3(z-(6z+35)+10)=4(z+5) equation:


Simplifying
3(z + -1(6z + 35) + 10) = 4(z + 5)

Reorder the terms:
3(z + -1(35 + 6z) + 10) = 4(z + 5)
3(z + (35 * -1 + 6z * -1) + 10) = 4(z + 5)
3(z + (-35 + -6z) + 10) = 4(z + 5)

Reorder the terms:
3(-35 + 10 + z + -6z) = 4(z + 5)

Combine like terms: -35 + 10 = -25
3(-25 + z + -6z) = 4(z + 5)

Combine like terms: z + -6z = -5z
3(-25 + -5z) = 4(z + 5)
(-25 * 3 + -5z * 3) = 4(z + 5)
(-75 + -15z) = 4(z + 5)

Reorder the terms:
-75 + -15z = 4(5 + z)
-75 + -15z = (5 * 4 + z * 4)
-75 + -15z = (20 + 4z)

Solving
-75 + -15z = 20 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-75 + -15z + -4z = 20 + 4z + -4z

Combine like terms: -15z + -4z = -19z
-75 + -19z = 20 + 4z + -4z

Combine like terms: 4z + -4z = 0
-75 + -19z = 20 + 0
-75 + -19z = 20

Add '75' to each side of the equation.
-75 + 75 + -19z = 20 + 75

Combine like terms: -75 + 75 = 0
0 + -19z = 20 + 75
-19z = 20 + 75

Combine like terms: 20 + 75 = 95
-19z = 95

Divide each side by '-19'.
z = -5

Simplifying
z = -5

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