5r+6*2=2r-18*20

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Solution for 5r+6*2=2r-18*20 equation:


Simplifying
5r + 6 * 2 = 2r + -18 * 20

Multiply 6 * 2
5r + 12 = 2r + -18 * 20

Reorder the terms:
12 + 5r = 2r + -18 * 20

Multiply -18 * 20
12 + 5r = 2r + -360

Reorder the terms:
12 + 5r = -360 + 2r

Solving
12 + 5r = -360 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
12 + 5r + -2r = -360 + 2r + -2r

Combine like terms: 5r + -2r = 3r
12 + 3r = -360 + 2r + -2r

Combine like terms: 2r + -2r = 0
12 + 3r = -360 + 0
12 + 3r = -360

Add '-12' to each side of the equation.
12 + -12 + 3r = -360 + -12

Combine like terms: 12 + -12 = 0
0 + 3r = -360 + -12
3r = -360 + -12

Combine like terms: -360 + -12 = -372
3r = -372

Divide each side by '3'.
r = -124

Simplifying
r = -124

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