3[5-3(4-r)]-5=5[3(5r-4)+2]-26

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Solution for 3[5-3(4-r)]-5=5[3(5r-4)+2]-26 equation: 


Simplifying
3[5 + -3(4 + -1r)] + -5 = 5[3(5r + -4) + 2] + -26
3[5 + (4 * -3 + -1r * -3)] + -5 = 5[3(5r + -4) + 2] + -26
3[5 + (-12 + 3r)] + -5 = 5[3(5r + -4) + 2] + -26

Combine like terms: 5 + -12 = -7
3[-7 + 3r] + -5 = 5[3(5r + -4) + 2] + -26
[-7 * 3 + 3r * 3] + -5 = 5[3(5r + -4) + 2] + -26
[-21 + 9r] + -5 = 5[3(5r + -4) + 2] + -26

Reorder the terms:
-21 + -5 + 9r = 5[3(5r + -4) + 2] + -26

Combine like terms: -21 + -5 = -26
-26 + 9r = 5[3(5r + -4) + 2] + -26

Reorder the terms:
-26 + 9r = 5[3(-4 + 5r) + 2] + -26
-26 + 9r = 5[(-4 * 3 + 5r * 3) + 2] + -26
-26 + 9r = 5[(-12 + 15r) + 2] + -26

Reorder the terms:
-26 + 9r = 5[-12 + 2 + 15r] + -26

Combine like terms: -12 + 2 = -10
-26 + 9r = 5[-10 + 15r] + -26
-26 + 9r = [-10 * 5 + 15r * 5] + -26
-26 + 9r = [-50 + 75r] + -26

Reorder the terms:
-26 + 9r = -50 + -26 + 75r

Combine like terms: -50 + -26 = -76
-26 + 9r = -76 + 75r

Solving
-26 + 9r = -76 + 75r

Solving for variable 'r'.

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

Add '-75r' to each side of the equation.
-26 + 9r + -75r = -76 + 75r + -75r

Combine like terms: 9r + -75r = -66r
-26 + -66r = -76 + 75r + -75r

Combine like terms: 75r + -75r = 0
-26 + -66r = -76 + 0
-26 + -66r = -76

Add '26' to each side of the equation.
-26 + 26 + -66r = -76 + 26

Combine like terms: -26 + 26 = 0
0 + -66r = -76 + 26
-66r = -76 + 26

Combine like terms: -76 + 26 = -50
-66r = -50

Divide each side by '-66'.
r = 0.7575757576

Simplifying
r = 0.7575757576

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