Solve for z: 1.5z + 2 = 5 (0.4z + 1.1)

Answer: z=-7

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Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1.5z+2=5 (0.4z+1.1)

1.5z+2 = (5) (0.4z) + (5) (1.1) (Distribute)

1.5z+2=2z+5.5

Step 2: Subtract 2z from both sides.

1.5z+2-2z=2z+5.5-2z

-0.5z+2=5.5

Step 3: Subtract 2 from both sides.

-0.5z+2-2=5.5-2

-0.5z=3.5

Step 4: Divide both sides by - 0.5.

-0.5z

-0.5

=

3.5

-0.5

z=-7