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

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


Simplifying
8(4 + -1r) = -6(3 + r)
(4 * 8 + -1r * 8) = -6(3 + r)
(32 + -8r) = -6(3 + r)
32 + -8r = (3 * -6 + r * -6)
32 + -8r = (-18 + -6r)

Solving
32 + -8r = -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 + -8r + 6r = -18 + -6r + 6r

Combine like terms: -8r + 6r = -2r
32 + -2r = -18 + -6r + 6r

Combine like terms: -6r + 6r = 0
32 + -2r = -18 + 0
32 + -2r = -18

Add '-32' to each side of the equation.
32 + -32 + -2r = -18 + -32

Combine like terms: 32 + -32 = 0
0 + -2r = -18 + -32
-2r = -18 + -32

Combine like terms: -18 + -32 = -50
-2r = -50

Divide each side by '-2'.
r = 25

Simplifying
r = 25

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