7(5-r)=-6r+40

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Solution for 7(5-r)=-6r+40 equation:


Simplifying
7(5 + -1r) = -6r + 40
(5 * 7 + -1r * 7) = -6r + 40
(35 + -7r) = -6r + 40

Reorder the terms:
35 + -7r = 40 + -6r

Solving
35 + -7r = 40 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
35 + -7r + 6r = 40 + -6r + 6r

Combine like terms: -7r + 6r = -1r
35 + -1r = 40 + -6r + 6r

Combine like terms: -6r + 6r = 0
35 + -1r = 40 + 0
35 + -1r = 40

Add '-35' to each side of the equation.
35 + -35 + -1r = 40 + -35

Combine like terms: 35 + -35 = 0
0 + -1r = 40 + -35
-1r = 40 + -35

Combine like terms: 40 + -35 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5

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