19(2r+6)=8(5r-1)

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Solution for 19(2r+6)=8(5r-1) equation:


Simplifying
19(2r + 6) = 8(5r + -1)

Reorder the terms:
19(6 + 2r) = 8(5r + -1)
(6 * 19 + 2r * 19) = 8(5r + -1)
(114 + 38r) = 8(5r + -1)

Reorder the terms:
114 + 38r = 8(-1 + 5r)
114 + 38r = (-1 * 8 + 5r * 8)
114 + 38r = (-8 + 40r)

Solving
114 + 38r = -8 + 40r

Solving for variable 'r'.

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

Add '-40r' to each side of the equation.
114 + 38r + -40r = -8 + 40r + -40r

Combine like terms: 38r + -40r = -2r
114 + -2r = -8 + 40r + -40r

Combine like terms: 40r + -40r = 0
114 + -2r = -8 + 0
114 + -2r = -8

Add '-114' to each side of the equation.
114 + -114 + -2r = -8 + -114

Combine like terms: 114 + -114 = 0
0 + -2r = -8 + -114
-2r = -8 + -114

Combine like terms: -8 + -114 = -122
-2r = -122

Divide each side by '-2'.
r = 61

Simplifying
r = 61

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