2(r-4)=5r+(-7)18

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Solution for 2(r-4)=5r+(-7)18 equation:


Simplifying
2(r + -4) = 5r + (-7) * 18

Reorder the terms:
2(-4 + r) = 5r + (-7) * 18
(-4 * 2 + r * 2) = 5r + (-7) * 18
(-8 + 2r) = 5r + (-7) * 18

Multiply -7 * 18
-8 + 2r = 5r + -126

Reorder the terms:
-8 + 2r = -126 + 5r

Solving
-8 + 2r = -126 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-8 + 2r + -5r = -126 + 5r + -5r

Combine like terms: 2r + -5r = -3r
-8 + -3r = -126 + 5r + -5r

Combine like terms: 5r + -5r = 0
-8 + -3r = -126 + 0
-8 + -3r = -126

Add '8' to each side of the equation.
-8 + 8 + -3r = -126 + 8

Combine like terms: -8 + 8 = 0
0 + -3r = -126 + 8
-3r = -126 + 8

Combine like terms: -126 + 8 = -118
-3r = -118

Divide each side by '-3'.
r = 39.33333333

Simplifying
r = 39.33333333

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