6.4+2.1(z-2)=8.5
Can you show the work
6.4+2.1(z-2)=8.5
6.4+(2.1•z)-(2.1•-2)=8.5
6.4+2.1z-4.2=8.5
2.1z+6.3=8.5
2.1z=-2.1
Z=3
Sure! Let's solve the equation step by step:
1. Start by distributing the 2.1 to the terms inside the parentheses:
6.4 + 2.1z - 2(2.1) = 8.5
2. Simplify the expression inside the parentheses by multiplying:
6.4 + 2.1z - 4.2 = 8.5
3. Combine like terms on the left side of the equation:
6.4 - 4.2 + 2.1z = 8.5
4. Simplify the left side by subtracting:
2.2 + 2.1z = 8.5
5. Now, isolate the term with the variable by subtracting 2.2 from both sides of the equation:
2.1z = 8.5 - 2.2
2.1z = 6.3
6. To solve for z, divide both sides of the equation by 2.1:
z = 6.3 / 2.1
z = 3
So, the solution to the equation is z = 3.