9*2+21*2r=3*2r-2r

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Solution for 9*2+21*2r=3*2r-2r equation:


Simplifying
9 * 2 + 21 * 2r = 3 * 2r + -2r

Multiply 9 * 2
18 + 21 * 2r = 3 * 2r + -2r

Multiply 21 * 2
18 + 42r = 3 * 2r + -2r

Multiply 3 * 2
18 + 42r = 6r + -2r

Combine like terms: 6r + -2r = 4r
18 + 42r = 4r

Solving
18 + 42r = 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
18 + 42r + -4r = 4r + -4r

Combine like terms: 42r + -4r = 38r
18 + 38r = 4r + -4r

Combine like terms: 4r + -4r = 0
18 + 38r = 0

Add '-18' to each side of the equation.
18 + -18 + 38r = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 38r = 0 + -18
38r = 0 + -18

Combine like terms: 0 + -18 = -18
38r = -18

Divide each side by '38'.
r = -0.4736842105

Simplifying
r = -0.4736842105

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