4(5+f)-10=2(9+f)-6

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Solution for 4(5+f)-10=2(9+f)-6 equation: 


Simplifying
4(5 + f) + -10 = 2(9 + f) + -6
(5 * 4 + f * 4) + -10 = 2(9 + f) + -6
(20 + 4f) + -10 = 2(9 + f) + -6

Reorder the terms:
20 + -10 + 4f = 2(9 + f) + -6

Combine like terms: 20 + -10 = 10
10 + 4f = 2(9 + f) + -6
10 + 4f = (9 * 2 + f * 2) + -6
10 + 4f = (18 + 2f) + -6

Reorder the terms:
10 + 4f = 18 + -6 + 2f

Combine like terms: 18 + -6 = 12
10 + 4f = 12 + 2f

Solving
10 + 4f = 12 + 2f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-2f' to each side of the equation.
10 + 4f + -2f = 12 + 2f + -2f

Combine like terms: 4f + -2f = 2f
10 + 2f = 12 + 2f + -2f

Combine like terms: 2f + -2f = 0
10 + 2f = 12 + 0
10 + 2f = 12

Add '-10' to each side of the equation.
10 + -10 + 2f = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 2f = 12 + -10
2f = 12 + -10

Combine like terms: 12 + -10 = 2
2f = 2

Divide each side by '2'.
f = 1

Simplifying
f = 1

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