7r+2=(r-4)

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


Simplifying
7r + 2 = (r + -4)

Reorder the terms:
2 + 7r = (r + -4)

Reorder the terms:
2 + 7r = (-4 + r)

Remove parenthesis around (-4 + r)
2 + 7r = -4 + r

Solving
2 + 7r = -4 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
2 + 7r + -1r = -4 + r + -1r

Combine like terms: 7r + -1r = 6r
2 + 6r = -4 + r + -1r

Combine like terms: r + -1r = 0
2 + 6r = -4 + 0
2 + 6r = -4

Add '-2' to each side of the equation.
2 + -2 + 6r = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 6r = -4 + -2
6r = -4 + -2

Combine like terms: -4 + -2 = -6
6r = -6

Divide each side by '6'.
r = -1

Simplifying
r = -1

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