2(r-5)=7(2r-3)-1

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Solution for 2(r-5)=7(2r-3)-1 equation:


Simplifying
2(r + -5) = 7(2r + -3) + -1

Reorder the terms:
2(-5 + r) = 7(2r + -3) + -1
(-5 * 2 + r * 2) = 7(2r + -3) + -1
(-10 + 2r) = 7(2r + -3) + -1

Reorder the terms:
-10 + 2r = 7(-3 + 2r) + -1
-10 + 2r = (-3 * 7 + 2r * 7) + -1
-10 + 2r = (-21 + 14r) + -1

Reorder the terms:
-10 + 2r = -21 + -1 + 14r

Combine like terms: -21 + -1 = -22
-10 + 2r = -22 + 14r

Solving
-10 + 2r = -22 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
-10 + 2r + -14r = -22 + 14r + -14r

Combine like terms: 2r + -14r = -12r
-10 + -12r = -22 + 14r + -14r

Combine like terms: 14r + -14r = 0
-10 + -12r = -22 + 0
-10 + -12r = -22

Add '10' to each side of the equation.
-10 + 10 + -12r = -22 + 10

Combine like terms: -10 + 10 = 0
0 + -12r = -22 + 10
-12r = -22 + 10

Combine like terms: -22 + 10 = -12
-12r = -12

Divide each side by '-12'.
r = 1

Simplifying
r = 1

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