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
