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

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


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

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

Reorder the terms:
-8 + 2r = -7 + r

Solving
-8 + 2r = -7 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-8 + 2r + -1r = -7 + r + -1r

Combine like terms: 2r + -1r = 1r
-8 + 1r = -7 + r + -1r

Combine like terms: r + -1r = 0
-8 + 1r = -7 + 0
-8 + 1r = -7

Add '8' to each side of the equation.
-8 + 8 + 1r = -7 + 8

Combine like terms: -8 + 8 = 0
0 + 1r = -7 + 8
1r = -7 + 8

Combine like terms: -7 + 8 = 1
1r = 1

Divide each side by '1'.
r = 1

Simplifying
r = 1

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