7r+16=3r+24-7

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Solution for 7r+16=3r+24-7 equation:


Simplifying
7r + 16 = 3r + 24 + -7

Reorder the terms:
16 + 7r = 3r + 24 + -7

Reorder the terms:
16 + 7r = 24 + -7 + 3r

Combine like terms: 24 + -7 = 17
16 + 7r = 17 + 3r

Solving
16 + 7r = 17 + 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.
16 + 7r + -3r = 17 + 3r + -3r

Combine like terms: 7r + -3r = 4r
16 + 4r = 17 + 3r + -3r

Combine like terms: 3r + -3r = 0
16 + 4r = 17 + 0
16 + 4r = 17

Add '-16' to each side of the equation.
16 + -16 + 4r = 17 + -16

Combine like terms: 16 + -16 = 0
0 + 4r = 17 + -16
4r = 17 + -16

Combine like terms: 17 + -16 = 1
4r = 1

Divide each side by '4'.
r = 0.25

Simplifying
r = 0.25

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