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

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


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

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

Reorder the terms:
-8 + 2r = 5(-7 + r)
-8 + 2r = (-7 * 5 + r * 5)
-8 + 2r = (-35 + 5r)

Solving
-8 + 2r = -35 + 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 = -35 + 5r + -5r

Combine like terms: 2r + -5r = -3r
-8 + -3r = -35 + 5r + -5r

Combine like terms: 5r + -5r = 0
-8 + -3r = -35 + 0
-8 + -3r = -35

Add '8' to each side of the equation.
-8 + 8 + -3r = -35 + 8

Combine like terms: -8 + 8 = 0
0 + -3r = -35 + 8
-3r = -35 + 8

Combine like terms: -35 + 8 = -27
-3r = -27

Divide each side by '-3'.
r = 9

Simplifying
r = 9

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