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

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


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

Reorder the terms:
7(2 + r) = 4(-1r)
(2 * 7 + r * 7) = 4(-1r)
(14 + 7r) = 4(-1r)

Remove parenthesis around (-1r)
14 + 7r = 4 * -1r

Multiply 4 * -1
14 + 7r = -4r

Solving
14 + 7r = -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
14 + 7r + 4r = -4r + 4r

Combine like terms: 7r + 4r = 11r
14 + 11r = -4r + 4r

Combine like terms: -4r + 4r = 0
14 + 11r = 0

Add '-14' to each side of the equation.
14 + -14 + 11r = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 11r = 0 + -14
11r = 0 + -14

Combine like terms: 0 + -14 = -14
11r = -14

Divide each side by '11'.
r = -1.272727273

Simplifying
r = -1.272727273

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