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

Reorder the terms:
-122 + 25r = 7[-30 + 4 + 35r] + -50

Combine like terms: -30 + 4 = -26
-122 + 25r = 7[-26 + 35r] + -50
-122 + 25r = [-26 * 7 + 35r * 7] + -50
-122 + 25r = [-182 + 245r] + -50

Reorder the terms:
-122 + 25r = -182 + -50 + 245r

Combine like terms: -182 + -50 = -232
-122 + 25r = -232 + 245r

Solving
-122 + 25r = -232 + 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 = -232 + 245r + -245r

Combine like terms: 25r + -245r = -220r
-122 + -220r = -232 + 245r + -245r

Combine like terms: 245r + -245r = 0
-122 + -220r = -232 + 0
-122 + -220r = -232

Add '122' to each side of the equation.
-122 + 122 + -220r = -232 + 122

Combine like terms: -122 + 122 = 0
0 + -220r = -232 + 122
-220r = -232 + 122

Combine like terms: -232 + 122 = -110
-220r = -110

Divide each side by '-220'.
r = 0.5

Simplifying
r = 0.5

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