5+6(9z+8)=7(2z+4)+6

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Solution for 5+6(9z+8)=7(2z+4)+6 equation:


Simplifying
5 + 6(9z + 8) = 7(2z + 4) + 6

Reorder the terms:
5 + 6(8 + 9z) = 7(2z + 4) + 6
5 + (8 * 6 + 9z * 6) = 7(2z + 4) + 6
5 + (48 + 54z) = 7(2z + 4) + 6

Combine like terms: 5 + 48 = 53
53 + 54z = 7(2z + 4) + 6

Reorder the terms:
53 + 54z = 7(4 + 2z) + 6
53 + 54z = (4 * 7 + 2z * 7) + 6
53 + 54z = (28 + 14z) + 6

Reorder the terms:
53 + 54z = 28 + 6 + 14z

Combine like terms: 28 + 6 = 34
53 + 54z = 34 + 14z

Solving
53 + 54z = 34 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
53 + 54z + -14z = 34 + 14z + -14z

Combine like terms: 54z + -14z = 40z
53 + 40z = 34 + 14z + -14z

Combine like terms: 14z + -14z = 0
53 + 40z = 34 + 0
53 + 40z = 34

Add '-53' to each side of the equation.
53 + -53 + 40z = 34 + -53

Combine like terms: 53 + -53 = 0
0 + 40z = 34 + -53
40z = 34 + -53

Combine like terms: 34 + -53 = -19
40z = -19

Divide each side by '40'.
z = -0.475

Simplifying
z = -0.475

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