10(z+3)-4(z-4)+3(z-3)=

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


Simplifying
10(z + 3) + -4(z + -4) + 3(z + -3) = 0

Reorder the terms:
10(3 + z) + -4(z + -4) + 3(z + -3) = 0
(3 * 10 + z * 10) + -4(z + -4) + 3(z + -3) = 0
(30 + 10z) + -4(z + -4) + 3(z + -3) = 0

Reorder the terms:
30 + 10z + -4(-4 + z) + 3(z + -3) = 0
30 + 10z + (-4 * -4 + z * -4) + 3(z + -3) = 0
30 + 10z + (16 + -4z) + 3(z + -3) = 0

Reorder the terms:
30 + 10z + 16 + -4z + 3(-3 + z) = 0
30 + 10z + 16 + -4z + (-3 * 3 + z * 3) = 0
30 + 10z + 16 + -4z + (-9 + 3z) = 0

Reorder the terms:
30 + 16 + -9 + 10z + -4z + 3z = 0

Combine like terms: 30 + 16 = 46
46 + -9 + 10z + -4z + 3z = 0

Combine like terms: 46 + -9 = 37
37 + 10z + -4z + 3z = 0

Combine like terms: 10z + -4z = 6z
37 + 6z + 3z = 0

Combine like terms: 6z + 3z = 9z
37 + 9z = 0

Solving
37 + 9z = 0

Solving for variable 'z'.

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

Add '-37' to each side of the equation.
37 + -37 + 9z = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 9z = 0 + -37
9z = 0 + -37

Combine like terms: 0 + -37 = -37
9z = -37

Divide each side by '9'.
z = -4.111111111

Simplifying
z = -4.111111111

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