400=4r+4(r+10)

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Solution for 400=4r+4(r+10) equation:


Simplifying
400 = 4r + 4(r + 10)

Reorder the terms:
400 = 4r + 4(10 + r)
400 = 4r + (10 * 4 + r * 4)
400 = 4r + (40 + 4r)

Reorder the terms:
400 = 40 + 4r + 4r

Combine like terms: 4r + 4r = 8r
400 = 40 + 8r

Solving
400 = 40 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
400 + -8r = 40 + 8r + -8r

Combine like terms: 8r + -8r = 0
400 + -8r = 40 + 0
400 + -8r = 40

Add '-400' to each side of the equation.
400 + -400 + -8r = 40 + -400

Combine like terms: 400 + -400 = 0
0 + -8r = 40 + -400
-8r = 40 + -400

Combine like terms: 40 + -400 = -360
-8r = -360

Divide each side by '-8'.
r = 45

Simplifying
r = 45

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