3+2.5(z+4)=4.5z-1

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Solution for 3+2.5(z+4)=4.5z-1 equation: 


Simplifying
3 + 2.5(z + 4) = 4.5z + -1

Reorder the terms:
3 + 2.5(4 + z) = 4.5z + -1
3 + (4 * 2.5 + z * 2.5) = 4.5z + -1
3 + (10 + 2.5z) = 4.5z + -1

Combine like terms: 3 + 10 = 13
13 + 2.5z = 4.5z + -1

Reorder the terms:
13 + 2.5z = -1 + 4.5z

Solving
13 + 2.5z = -1 + 4.5z

Solving for variable 'z'.

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

Add '-4.5z' to each side of the equation.
13 + 2.5z + -4.5z = -1 + 4.5z + -4.5z

Combine like terms: 2.5z + -4.5z = -2z
13 + -2z = -1 + 4.5z + -4.5z

Combine like terms: 4.5z + -4.5z = 0.0
13 + -2z = -1 + 0.0
13 + -2z = -1

Add '-13' to each side of the equation.
13 + -13 + -2z = -1 + -13

Combine like terms: 13 + -13 = 0
0 + -2z = -1 + -13
-2z = -1 + -13

Combine like terms: -1 + -13 = -14
-2z = -14

Divide each side by '-2'.
z = 7

Simplifying
z = 7

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