4+1.5(z+4)=3.5z-4

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Solution for 4+1.5(z+4)=3.5z-4 equation:


Simplifying
4 + 1.5(z + 4) = 3.5z + -4

Reorder the terms:
4 + 1.5(4 + z) = 3.5z + -4
4 + (4 * 1.5 + z * 1.5) = 3.5z + -4
4 + (6 + 1.5z) = 3.5z + -4

Combine like terms: 4 + 6 = 10
10 + 1.5z = 3.5z + -4

Reorder the terms:
10 + 1.5z = -4 + 3.5z

Solving
10 + 1.5z = -4 + 3.5z

Solving for variable 'z'.

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

Add '-3.5z' to each side of the equation.
10 + 1.5z + -3.5z = -4 + 3.5z + -3.5z

Combine like terms: 1.5z + -3.5z = -2z
10 + -2z = -4 + 3.5z + -3.5z

Combine like terms: 3.5z + -3.5z = 0.0
10 + -2z = -4 + 0.0
10 + -2z = -4

Add '-10' to each side of the equation.
10 + -10 + -2z = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -2z = -4 + -10
-2z = -4 + -10

Combine like terms: -4 + -10 = -14
-2z = -14

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

Simplifying
z = 7

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