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

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


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

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

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

Solving
21 + -3r + 7t = -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 + -3r + r + 7t = -4 + -1r + r

Combine like terms: -3r + r = -2r
21 + -2r + 7t = -4 + -1r + r

Combine like terms: -1r + r = 0
21 + -2r + 7t = -4 + 0
21 + -2r + 7t = -4

Add '-21' to each side of the equation.
21 + -2r + -21 + 7t = -4 + -21

Reorder the terms:
21 + -21 + -2r + 7t = -4 + -21

Combine like terms: 21 + -21 = 0
0 + -2r + 7t = -4 + -21
-2r + 7t = -4 + -21

Combine like terms: -4 + -21 = -25
-2r + 7t = -25

Add '-7t' to each side of the equation.
-2r + 7t + -7t = -25 + -7t

Combine like terms: 7t + -7t = 0
-2r + 0 = -25 + -7t
-2r = -25 + -7t

Divide each side by '-2'.
r = 12.5 + 3.5t

Simplifying
r = 12.5 + 3.5t

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