4+3r+4r=7(2-r)+8(1+2r)

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Solution for 4+3r+4r=7(2-r)+8(1+2r) equation:


Simplifying
4 + 3r + 4r = 7(2 + -1r) + 8(1 + 2r)

Combine like terms: 3r + 4r = 7r
4 + 7r = 7(2 + -1r) + 8(1 + 2r)
4 + 7r = (2 * 7 + -1r * 7) + 8(1 + 2r)
4 + 7r = (14 + -7r) + 8(1 + 2r)
4 + 7r = 14 + -7r + (1 * 8 + 2r * 8)
4 + 7r = 14 + -7r + (8 + 16r)

Reorder the terms:
4 + 7r = 14 + 8 + -7r + 16r

Combine like terms: 14 + 8 = 22
4 + 7r = 22 + -7r + 16r

Combine like terms: -7r + 16r = 9r
4 + 7r = 22 + 9r

Solving
4 + 7r = 22 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
4 + 7r + -9r = 22 + 9r + -9r

Combine like terms: 7r + -9r = -2r
4 + -2r = 22 + 9r + -9r

Combine like terms: 9r + -9r = 0
4 + -2r = 22 + 0
4 + -2r = 22

Add '-4' to each side of the equation.
4 + -4 + -2r = 22 + -4

Combine like terms: 4 + -4 = 0
0 + -2r = 22 + -4
-2r = 22 + -4

Combine like terms: 22 + -4 = 18
-2r = 18

Divide each side by '-2'.
r = -9

Simplifying
r = -9

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