4r+7=5(2-r)+6

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Solution for 4r+7=5(2-r)+6 equation:


Simplifying
4r + 7 = 5(2 + -1r) + 6

Reorder the terms:
7 + 4r = 5(2 + -1r) + 6
7 + 4r = (2 * 5 + -1r * 5) + 6
7 + 4r = (10 + -5r) + 6

Reorder the terms:
7 + 4r = 10 + 6 + -5r

Combine like terms: 10 + 6 = 16
7 + 4r = 16 + -5r

Solving
7 + 4r = 16 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
7 + 4r + 5r = 16 + -5r + 5r

Combine like terms: 4r + 5r = 9r
7 + 9r = 16 + -5r + 5r

Combine like terms: -5r + 5r = 0
7 + 9r = 16 + 0
7 + 9r = 16

Add '-7' to each side of the equation.
7 + -7 + 9r = 16 + -7

Combine like terms: 7 + -7 = 0
0 + 9r = 16 + -7
9r = 16 + -7

Combine like terms: 16 + -7 = 9
9r = 9

Divide each side by '9'.
r = 1

Simplifying
r = 1

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