2(10r+12)+4(r+1)=3r+5+14r-5

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Solution for 2(10r+12)+4(r+1)=3r+5+14r-5 equation:


Simplifying
2(10r + 12) + 4(r + 1) = 3r + 5 + 14r + -5

Reorder the terms:
2(12 + 10r) + 4(r + 1) = 3r + 5 + 14r + -5
(12 * 2 + 10r * 2) + 4(r + 1) = 3r + 5 + 14r + -5
(24 + 20r) + 4(r + 1) = 3r + 5 + 14r + -5

Reorder the terms:
24 + 20r + 4(1 + r) = 3r + 5 + 14r + -5
24 + 20r + (1 * 4 + r * 4) = 3r + 5 + 14r + -5
24 + 20r + (4 + 4r) = 3r + 5 + 14r + -5

Reorder the terms:
24 + 4 + 20r + 4r = 3r + 5 + 14r + -5

Combine like terms: 24 + 4 = 28
28 + 20r + 4r = 3r + 5 + 14r + -5

Combine like terms: 20r + 4r = 24r
28 + 24r = 3r + 5 + 14r + -5

Reorder the terms:
28 + 24r = 5 + -5 + 3r + 14r

Combine like terms: 5 + -5 = 0
28 + 24r = 0 + 3r + 14r
28 + 24r = 3r + 14r

Combine like terms: 3r + 14r = 17r
28 + 24r = 17r

Solving
28 + 24r = 17r

Solving for variable 'r'.

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

Add '-17r' to each side of the equation.
28 + 24r + -17r = 17r + -17r

Combine like terms: 24r + -17r = 7r
28 + 7r = 17r + -17r

Combine like terms: 17r + -17r = 0
28 + 7r = 0

Add '-28' to each side of the equation.
28 + -28 + 7r = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 7r = 0 + -28
7r = 0 + -28

Combine like terms: 0 + -28 = -28
7r = -28

Divide each side by '7'.
r = -4

Simplifying
r = -4

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