Solve f - 6 = 3f + 1

Simplifying f + - 6 = 3f + 1 Reorder the terms: - 6 + f = 3f + 1 Reorder the terms: - 6 + f = 1 + 3f Solving - 6 + f = 1 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. - 6 + f + - 3f = 1 + 3f + - 3f Combine like terms: f + - 3f = - 2f - 6 + - 2f = 1 + 3f + - 3f Combine like terms: 3f + - 3f = 0 - 6 + - 2f = 1 + 0 - 6 + - 2f = 1 Add '6' to each side of the equation. - 6 + 6 + - 2f = 1 + 6 Combine like terms: - 6 + 6 = 0 0 + - 2f = 1 + 6 - 2f = 1 + 6 Combine like terms: 1 + 6 = 7 - 2f = 7 Divide each side by '-2'. f = - 3.5 Simplifying f = - 3.5

F-6=3f+1

-6-1=3f-f

-7=2f

-7:2=f

-3.5=f