9.9-47.8z=-2.8z-3(9z-0.3)

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Solution for 9.9-47.8z=-2.8z-3(9z-0.3) equation: 


Simplifying
9.9 + -47.8z = -2.8z + -3(9z + -0.3)

Reorder the terms:
9.9 + -47.8z = -2.8z + -3(-0.3 + 9z)
9.9 + -47.8z = -2.8z + (-0.3 * -3 + 9z * -3)
9.9 + -47.8z = -2.8z + (0.9 + -27z)

Reorder the terms:
9.9 + -47.8z = 0.9 + -2.8z + -27z

Combine like terms: -2.8z + -27z = -29.8z
9.9 + -47.8z = 0.9 + -29.8z

Solving
9.9 + -47.8z = 0.9 + -29.8z

Solving for variable 'z'.

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

Add '29.8z' to each side of the equation.
9.9 + -47.8z + 29.8z = 0.9 + -29.8z + 29.8z

Combine like terms: -47.8z + 29.8z = -18z
9.9 + -18z = 0.9 + -29.8z + 29.8z

Combine like terms: -29.8z + 29.8z = 0.0
9.9 + -18z = 0.9 + 0.0
9.9 + -18z = 0.9

Add '-9.9' to each side of the equation.
9.9 + -9.9 + -18z = 0.9 + -9.9

Combine like terms: 9.9 + -9.9 = 0.0
0.0 + -18z = 0.9 + -9.9
-18z = 0.9 + -9.9

Combine like terms: 0.9 + -9.9 = -9
-18z = -9

Divide each side by '-18'.
z = 0.5

Simplifying
z = 0.5

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