2(9r-13)=-13r-5(13r-14)

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Solution for 2(9r-13)=-13r-5(13r-14) equation:


Simplifying
2(9r + -13) = -13r + -5(13r + -14)

Reorder the terms:
2(-13 + 9r) = -13r + -5(13r + -14)
(-13 * 2 + 9r * 2) = -13r + -5(13r + -14)
(-26 + 18r) = -13r + -5(13r + -14)

Reorder the terms:
-26 + 18r = -13r + -5(-14 + 13r)
-26 + 18r = -13r + (-14 * -5 + 13r * -5)
-26 + 18r = -13r + (70 + -65r)

Reorder the terms:
-26 + 18r = 70 + -13r + -65r

Combine like terms: -13r + -65r = -78r
-26 + 18r = 70 + -78r

Solving
-26 + 18r = 70 + -78r

Solving for variable 'r'.

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

Add '78r' to each side of the equation.
-26 + 18r + 78r = 70 + -78r + 78r

Combine like terms: 18r + 78r = 96r
-26 + 96r = 70 + -78r + 78r

Combine like terms: -78r + 78r = 0
-26 + 96r = 70 + 0
-26 + 96r = 70

Add '26' to each side of the equation.
-26 + 26 + 96r = 70 + 26

Combine like terms: -26 + 26 = 0
0 + 96r = 70 + 26
96r = 70 + 26

Combine like terms: 70 + 26 = 96
96r = 96

Divide each side by '96'.
r = 1

Simplifying
r = 1

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