7r+8(r+2)=6r

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Solution for 7r+8(r+2)=6r equation:


Simplifying
7r + 8(r + 2) = 6r

Reorder the terms:
7r + 8(2 + r) = 6r
7r + (2 * 8 + r * 8) = 6r
7r + (16 + 8r) = 6r

Reorder the terms:
16 + 7r + 8r = 6r

Combine like terms: 7r + 8r = 15r
16 + 15r = 6r

Solving
16 + 15r = 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.
16 + 15r + -6r = 6r + -6r

Combine like terms: 15r + -6r = 9r
16 + 9r = 6r + -6r

Combine like terms: 6r + -6r = 0
16 + 9r = 0

Add '-16' to each side of the equation.
16 + -16 + 9r = 0 + -16

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

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

Divide each side by '9'.
r = -1.777777778

Simplifying
r = -1.777777778

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