0.3(3z+7)+7.5=0.4(3z-6)

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Solution for 0.3(3z+7)+7.5=0.4(3z-6) equation:


0.3 (3z+7)+7.5=0.4 (3z-6)

We simplify the equation to the form, which is simple to understand 
0.3(3z+7)+7.5=0.4(3z-6)

Reorder the terms in parentheses
+( + 0.9z+2.1)+7.5=0.4*(3z-6)

Remove unnecessary parentheses
 + 0.9z+2.1+7.5=0.4+*(+3z-6+)

Reorder the terms in parentheses
 + 0.9z+2.1+7.5=+(+1.2z-2.4)

Remove unnecessary parentheses
 + 0.9z+2.1+7.5=+1.2z-2.4

We move all terms containing z to the left and all other terms to the right. 
 + 0.9z-1.2z=-2.4-2.1-7.5

We simplify left and right side of the equation. 
-0.3z=-12

We divide both sides of the equation by -0.3 to get z. 
z=40

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