5[7-5(6r)]-7=[5(7r+6)+4]-50

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Solution for 5[7-5(6r)]-7=[5(7r+6)+4]-50 equation: 


Simplifying
5[7 + -5(6r)] + -7 = [5(7r + 6) + 4] + -50

Remove parenthesis around (6r)
5[7 + -5 * 6r] + -7 = [5(7r + 6) + 4] + -50

Multiply -5 * 6
5[7 + -30r] + -7 = [5(7r + 6) + 4] + -50
[7 * 5 + -30r * 5] + -7 = [5(7r + 6) + 4] + -50
[35 + -150r] + -7 = [5(7r + 6) + 4] + -50

Reorder the terms:
35 + -7 + -150r = [5(7r + 6) + 4] + -50

Combine like terms: 35 + -7 = 28
28 + -150r = [5(7r + 6) + 4] + -50

Reorder the terms:
28 + -150r = [5(6 + 7r) + 4] + -50
28 + -150r = [(6 * 5 + 7r * 5) + 4] + -50
28 + -150r = [(30 + 35r) + 4] + -50

Reorder the terms:
28 + -150r = [30 + 4 + 35r] + -50

Combine like terms: 30 + 4 = 34
28 + -150r = [34 + 35r] + -50

Remove brackets around [34 + 35r]
28 + -150r = 34 + 35r + -50

Reorder the terms:
28 + -150r = 34 + -50 + 35r

Combine like terms: 34 + -50 = -16
28 + -150r = -16 + 35r

Solving
28 + -150r = -16 + 35r

Solving for variable 'r'.

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

Add '-35r' to each side of the equation.
28 + -150r + -35r = -16 + 35r + -35r

Combine like terms: -150r + -35r = -185r
28 + -185r = -16 + 35r + -35r

Combine like terms: 35r + -35r = 0
28 + -185r = -16 + 0
28 + -185r = -16

Add '-28' to each side of the equation.
28 + -28 + -185r = -16 + -28

Combine like terms: 28 + -28 = 0
0 + -185r = -16 + -28
-185r = -16 + -28

Combine like terms: -16 + -28 = -44
-185r = -44

Divide each side by '-185'.
r = 0.2378378378

Simplifying
r = 0.2378378378

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