8(4-r)+r=6(3+r)

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Solution for 8(4-r)+r=6(3+r) equation: 


Simplifying
8(4 + -1r) + r = 6(3 + r)
(4 * 8 + -1r * 8) + r = 6(3 + r)
(32 + -8r) + r = 6(3 + r)

Combine like terms: -8r + r = -7r
32 + -7r = 6(3 + r)
32 + -7r = (3 * 6 + r * 6)
32 + -7r = (18 + 6r)

Solving
32 + -7r = 18 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
32 + -7r + -6r = 18 + 6r + -6r

Combine like terms: -7r + -6r = -13r
32 + -13r = 18 + 6r + -6r

Combine like terms: 6r + -6r = 0
32 + -13r = 18 + 0
32 + -13r = 18

Add '-32' to each side of the equation.
32 + -32 + -13r = 18 + -32

Combine like terms: 32 + -32 = 0
0 + -13r = 18 + -32
-13r = 18 + -32

Combine like terms: 18 + -32 = -14
-13r = -14

Divide each side by '-13'.
r = 1.076923077

Simplifying
r = 1.076923077

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