Solve: 6z+12 = -2
Answer
z = -2.3333333333
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 6z+12 = 6z + 12
- Expand and simplify the right-hand side: -2 = -2
- Move every term to one side so the equation reads "...= 0": 6z + 14 = 0
- This is a linear equation of the form az+b=0, with a=6 and b=14.
- Solve for z: z = -b/a = -(14)/6 = -2.3333333333
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form az+b=0 (a≠0), which has exactly one solution: z = -b/a.
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Frequently Asked Questions
What is the solution to 6z+12 = -2?
z = -2.3333333333.