4.9(z+6.1)=-3.2z-7.37

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Solution for 4.9(z+6.1)=-3.2z-7.37 equation:


Simplifying
4.9(z + 6.1) = -3.2z + -7.37

Reorder the terms:
4.9(6.1 + z) = -3.2z + -7.37
(6.1 * 4.9 + z * 4.9) = -3.2z + -7.37
(29.89 + 4.9z) = -3.2z + -7.37

Reorder the terms:
29.89 + 4.9z = -7.37 + -3.2z

Solving
29.89 + 4.9z = -7.37 + -3.2z

Solving for variable 'z'.

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

Add '3.2z' to each side of the equation.
29.89 + 4.9z + 3.2z = -7.37 + -3.2z + 3.2z

Combine like terms: 4.9z + 3.2z = 8.1z
29.89 + 8.1z = -7.37 + -3.2z + 3.2z

Combine like terms: -3.2z + 3.2z = 0.0
29.89 + 8.1z = -7.37 + 0.0
29.89 + 8.1z = -7.37

Add '-29.89' to each side of the equation.
29.89 + -29.89 + 8.1z = -7.37 + -29.89

Combine like terms: 29.89 + -29.89 = 0.00
0.00 + 8.1z = -7.37 + -29.89
8.1z = -7.37 + -29.89

Combine like terms: -7.37 + -29.89 = -37.26
8.1z = -37.26

Divide each side by '8.1'.
z = -4.6

Simplifying
z = -4.6

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