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

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


Simplifying
5[7 + -5(6 + -1r)] + -7 = 7[5(7r + -6)] + 4 + -50
5[7 + (6 * -5 + -1r * -5)] + -7 = 7[5(7r + -6)] + 4 + -50
5[7 + (-30 + 5r)] + -7 = 7[5(7r + -6)] + 4 + -50

Combine like terms: 7 + -30 = -23
5[-23 + 5r] + -7 = 7[5(7r + -6)] + 4 + -50
[-23 * 5 + 5r * 5] + -7 = 7[5(7r + -6)] + 4 + -50
[-115 + 25r] + -7 = 7[5(7r + -6)] + 4 + -50

Reorder the terms:
-115 + -7 + 25r = 7[5(7r + -6)] + 4 + -50

Combine like terms: -115 + -7 = -122
-122 + 25r = 7[5(7r + -6)] + 4 + -50

Reorder the terms:
-122 + 25r = 7[5(-6 + 7r)] + 4 + -50
-122 + 25r = 7[(-6 * 5 + 7r * 5)] + 4 + -50
-122 + 25r = 7[(-30 + 35r)] + 4 + -50
-122 + 25r = [-30 * 7 + 35r * 7] + 4 + -50
-122 + 25r = [-210 + 245r] + 4 + -50

Reorder the terms:
-122 + 25r = -210 + 4 + -50 + 245r

Combine like terms: -210 + 4 = -206
-122 + 25r = -206 + -50 + 245r

Combine like terms: -206 + -50 = -256
-122 + 25r = -256 + 245r

Solving
-122 + 25r = -256 + 245r

Solving for variable 'r'.

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

Add '-245r' to each side of the equation.
-122 + 25r + -245r = -256 + 245r + -245r

Combine like terms: 25r + -245r = -220r
-122 + -220r = -256 + 245r + -245r

Combine like terms: 245r + -245r = 0
-122 + -220r = -256 + 0
-122 + -220r = -256

Add '122' to each side of the equation.
-122 + 122 + -220r = -256 + 122

Combine like terms: -122 + 122 = 0
0 + -220r = -256 + 122
-220r = -256 + 122

Combine like terms: -256 + 122 = -134
-220r = -134

Divide each side by '-220'.
r = 0.6090909091

Simplifying
r = 0.6090909091

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