z-6.4z-1.9=-4.9(z+6)

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Solution for z-6.4z-1.9=-4.9(z+6) equation:


Simplifying
z + -6.4z + -1.9 = -4.9(z + 6)

Reorder the terms:
-1.9 + z + -6.4z = -4.9(z + 6)

Combine like terms: z + -6.4z = -5.4z
-1.9 + -5.4z = -4.9(z + 6)

Reorder the terms:
-1.9 + -5.4z = -4.9(6 + z)
-1.9 + -5.4z = (6 * -4.9 + z * -4.9)
-1.9 + -5.4z = (-29.4 + -4.9z)

Solving
-1.9 + -5.4z = -29.4 + -4.9z

Solving for variable 'z'.

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

Add '4.9z' to each side of the equation.
-1.9 + -5.4z + 4.9z = -29.4 + -4.9z + 4.9z

Combine like terms: -5.4z + 4.9z = -0.5z
-1.9 + -0.5z = -29.4 + -4.9z + 4.9z

Combine like terms: -4.9z + 4.9z = 0.0
-1.9 + -0.5z = -29.4 + 0.0
-1.9 + -0.5z = -29.4

Add '1.9' to each side of the equation.
-1.9 + 1.9 + -0.5z = -29.4 + 1.9

Combine like terms: -1.9 + 1.9 = 0.0
0.0 + -0.5z = -29.4 + 1.9
-0.5z = -29.4 + 1.9

Combine like terms: -29.4 + 1.9 = -27.5
-0.5z = -27.5

Divide each side by '-0.5'.
z = 55

Simplifying
z = 55

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