13-3(z+1)=z-10

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Solution for 13-3(z+1)=z-10 equation:


Simplifying
13 + -3(z + 1) = z + -10

Reorder the terms:
13 + -3(1 + z) = z + -10
13 + (1 * -3 + z * -3) = z + -10
13 + (-3 + -3z) = z + -10

Combine like terms: 13 + -3 = 10
10 + -3z = z + -10

Reorder the terms:
10 + -3z = -10 + z

Solving
10 + -3z = -10 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
10 + -3z + -1z = -10 + z + -1z

Combine like terms: -3z + -1z = -4z
10 + -4z = -10 + z + -1z

Combine like terms: z + -1z = 0
10 + -4z = -10 + 0
10 + -4z = -10

Add '-10' to each side of the equation.
10 + -10 + -4z = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -4z = -10 + -10
-4z = -10 + -10

Combine like terms: -10 + -10 = -20
-4z = -20

Divide each side by '-4'.
z = 5

Simplifying
z = 5

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