7r+3(7+r)=-(r+4)

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Solution for 7r+3(7+r)=-(r+4) equation:


Simplifying
7r + 3(7 + r) = -1(r + 4)
7r + (7 * 3 + r * 3) = -1(r + 4)
7r + (21 + 3r) = -1(r + 4)

Reorder the terms:
21 + 7r + 3r = -1(r + 4)

Combine like terms: 7r + 3r = 10r
21 + 10r = -1(r + 4)

Reorder the terms:
21 + 10r = -1(4 + r)
21 + 10r = (4 * -1 + r * -1)
21 + 10r = (-4 + -1r)

Solving
21 + 10r = -4 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
21 + 10r + r = -4 + -1r + r

Combine like terms: 10r + r = 11r
21 + 11r = -4 + -1r + r

Combine like terms: -1r + r = 0
21 + 11r = -4 + 0
21 + 11r = -4

Add '-21' to each side of the equation.
21 + -21 + 11r = -4 + -21

Combine like terms: 21 + -21 = 0
0 + 11r = -4 + -21
11r = -4 + -21

Combine like terms: -4 + -21 = -25
11r = -25

Divide each side by '11'.
r = -2.272727273

Simplifying
r = -2.272727273

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