4(22-1)+3(4z-5)=z

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Solution for 4(22-1)+3(4z-5)=z equation:


Simplifying
4(22 + -1) + 3(4z + -5) = z

Combine like terms: 22 + -1 = 21
4(21) + 3(4z + -5) = z

Multiply 4 * 21
84 + 3(4z + -5) = z

Reorder the terms:
84 + 3(-5 + 4z) = z
84 + (-5 * 3 + 4z * 3) = z
84 + (-15 + 12z) = z

Combine like terms: 84 + -15 = 69
69 + 12z = z

Solving
69 + 12z = 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.
69 + 12z + -1z = z + -1z

Combine like terms: 12z + -1z = 11z
69 + 11z = z + -1z

Combine like terms: z + -1z = 0
69 + 11z = 0

Add '-69' to each side of the equation.
69 + -69 + 11z = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 11z = 0 + -69
11z = 0 + -69

Combine like terms: 0 + -69 = -69
11z = -69

Divide each side by '11'.
z = -6.272727273

Simplifying
z = -6.272727273

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