Solve: 1-3(4p-1) = 4+p
Answer
p = 0
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 1-3(4p-1) = -12p + 4
- Expand and simplify the right-hand side: 4+p = p + 4
- Move every term to one side so the equation reads "...= 0": -13p = 0
- This is a linear equation of the form ap+b=0, with a=-13 and b=0.
- Solve for p: p = -b/a = -(0)/-13 = 0
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form ap+b=0 (a≠0), which has exactly one solution: p = -b/a.
Frequently Asked Questions
What is the solution to 1-3(4p-1) = 4+p?
p = 0.