1.4(z+0.5)=0.7(z-1.3)

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Solution for 1.4(z+0.5)=0.7(z-1.3) equation:


Simplifying
1.4(z + 0.5) = 0.7(z + -1.3)

Reorder the terms:
1.4(0.5 + z) = 0.7(z + -1.3)
(0.5 * 1.4 + z * 1.4) = 0.7(z + -1.3)
(0.7 + 1.4z) = 0.7(z + -1.3)

Reorder the terms:
0.7 + 1.4z = 0.7(-1.3 + z)
0.7 + 1.4z = (-1.3 * 0.7 + z * 0.7)
0.7 + 1.4z = (-0.91 + 0.7z)

Solving
0.7 + 1.4z = -0.91 + 0.7z

Solving for variable 'z'.

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

Add '-0.7z' to each side of the equation.
0.7 + 1.4z + -0.7z = -0.91 + 0.7z + -0.7z

Combine like terms: 1.4z + -0.7z = 0.7z
0.7 + 0.7z = -0.91 + 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
0.7 + 0.7z = -0.91 + 0.0
0.7 + 0.7z = -0.91

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.7z = -0.91 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.7z = -0.91 + -0.7
0.7z = -0.91 + -0.7

Combine like terms: -0.91 + -0.7 = -1.61
0.7z = -1.61

Divide each side by '0.7'.
z = -2.3

Simplifying
z = -2.3

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