7(1+6r)-4(4r+8)=1

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Solution for 7(1+6r)-4(4r+8)=1 equation: 


Simplifying
7(1 + 6r) + -4(4r + 8) = 1
(1 * 7 + 6r * 7) + -4(4r + 8) = 1
(7 + 42r) + -4(4r + 8) = 1

Reorder the terms:
7 + 42r + -4(8 + 4r) = 1
7 + 42r + (8 * -4 + 4r * -4) = 1
7 + 42r + (-32 + -16r) = 1

Reorder the terms:
7 + -32 + 42r + -16r = 1

Combine like terms: 7 + -32 = -25
-25 + 42r + -16r = 1

Combine like terms: 42r + -16r = 26r
-25 + 26r = 1

Solving
-25 + 26r = 1

Solving for variable 'r'.

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

Add '25' to each side of the equation.
-25 + 25 + 26r = 1 + 25

Combine like terms: -25 + 25 = 0
0 + 26r = 1 + 25
26r = 1 + 25

Combine like terms: 1 + 25 = 26
26r = 26

Divide each side by '26'.
r = 1

Simplifying
r = 1

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