19(2r+16)=8(5r-1)

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Solution for 19(2r+16)=8(5r-1) equation:


Simplifying
19(2r + 16) = 8(5r + -1)

Reorder the terms:
19(16 + 2r) = 8(5r + -1)
(16 * 19 + 2r * 19) = 8(5r + -1)
(304 + 38r) = 8(5r + -1)

Reorder the terms:
304 + 38r = 8(-1 + 5r)
304 + 38r = (-1 * 8 + 5r * 8)
304 + 38r = (-8 + 40r)

Solving
304 + 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.
304 + 38r + -40r = -8 + 40r + -40r

Combine like terms: 38r + -40r = -2r
304 + -2r = -8 + 40r + -40r

Combine like terms: 40r + -40r = 0
304 + -2r = -8 + 0
304 + -2r = -8

Add '-304' to each side of the equation.
304 + -304 + -2r = -8 + -304

Combine like terms: 304 + -304 = 0
0 + -2r = -8 + -304
-2r = -8 + -304

Combine like terms: -8 + -304 = -312
-2r = -312

Divide each side by '-2'.
r = 156

Simplifying
r = 156

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