26=-2(21-z)+3(z-4)

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Solution for 26=-2(21-z)+3(z-4) equation:


Simplifying
26 = -2(21 + -1z) + 3(z + -4)
26 = (21 * -2 + -1z * -2) + 3(z + -4)
26 = (-42 + 2z) + 3(z + -4)

Reorder the terms:
26 = -42 + 2z + 3(-4 + z)
26 = -42 + 2z + (-4 * 3 + z * 3)
26 = -42 + 2z + (-12 + 3z)

Reorder the terms:
26 = -42 + -12 + 2z + 3z

Combine like terms: -42 + -12 = -54
26 = -54 + 2z + 3z

Combine like terms: 2z + 3z = 5z
26 = -54 + 5z

Solving
26 = -54 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
26 + -5z = -54 + 5z + -5z

Combine like terms: 5z + -5z = 0
26 + -5z = -54 + 0
26 + -5z = -54

Add '-26' to each side of the equation.
26 + -26 + -5z = -54 + -26

Combine like terms: 26 + -26 = 0
0 + -5z = -54 + -26
-5z = -54 + -26

Combine like terms: -54 + -26 = -80
-5z = -80

Divide each side by '-5'.
z = 16

Simplifying
z = 16

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