3r+5(7-5r)=-40+3r

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Solution for 3r+5(7-5r)=-40+3r equation:


Simplifying
3r + 5(7 + -5r) = -40 + 3r
3r + (7 * 5 + -5r * 5) = -40 + 3r
3r + (35 + -25r) = -40 + 3r

Reorder the terms:
35 + 3r + -25r = -40 + 3r

Combine like terms: 3r + -25r = -22r
35 + -22r = -40 + 3r

Solving
35 + -22r = -40 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
35 + -22r + -3r = -40 + 3r + -3r

Combine like terms: -22r + -3r = -25r
35 + -25r = -40 + 3r + -3r

Combine like terms: 3r + -3r = 0
35 + -25r = -40 + 0
35 + -25r = -40

Add '-35' to each side of the equation.
35 + -35 + -25r = -40 + -35

Combine like terms: 35 + -35 = 0
0 + -25r = -40 + -35
-25r = -40 + -35

Combine like terms: -40 + -35 = -75
-25r = -75

Divide each side by '-25'.
r = 3

Simplifying
r = 3

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