4(5f-3)-15=2(3f+9)-7

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Solution for 4(5f-3)-15=2(3f+9)-7 equation:


Simplifying
4(5f + -3) + -15 = 2(3f + 9) + -7

Reorder the terms:
4(-3 + 5f) + -15 = 2(3f + 9) + -7
(-3 * 4 + 5f * 4) + -15 = 2(3f + 9) + -7
(-12 + 20f) + -15 = 2(3f + 9) + -7

Reorder the terms:
-12 + -15 + 20f = 2(3f + 9) + -7

Combine like terms: -12 + -15 = -27
-27 + 20f = 2(3f + 9) + -7

Reorder the terms:
-27 + 20f = 2(9 + 3f) + -7
-27 + 20f = (9 * 2 + 3f * 2) + -7
-27 + 20f = (18 + 6f) + -7

Reorder the terms:
-27 + 20f = 18 + -7 + 6f

Combine like terms: 18 + -7 = 11
-27 + 20f = 11 + 6f

Solving
-27 + 20f = 11 + 6f

Solving for variable 'f'.

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

Add '-6f' to each side of the equation.
-27 + 20f + -6f = 11 + 6f + -6f

Combine like terms: 20f + -6f = 14f
-27 + 14f = 11 + 6f + -6f

Combine like terms: 6f + -6f = 0
-27 + 14f = 11 + 0
-27 + 14f = 11

Add '27' to each side of the equation.
-27 + 27 + 14f = 11 + 27

Combine like terms: -27 + 27 = 0
0 + 14f = 11 + 27
14f = 11 + 27

Combine like terms: 11 + 27 = 38
14f = 38

Divide each side by '14'.
f = 2.714285714

Simplifying
f = 2.714285714

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