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

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


Simplifying
2(r + -1) + 3(4 + r) = 0

Reorder the terms:
2(-1 + r) + 3(4 + r) = 0
(-1 * 2 + r * 2) + 3(4 + r) = 0
(-2 + 2r) + 3(4 + r) = 0
-2 + 2r + (4 * 3 + r * 3) = 0
-2 + 2r + (12 + 3r) = 0

Reorder the terms:
-2 + 12 + 2r + 3r = 0

Combine like terms: -2 + 12 = 10
10 + 2r + 3r = 0

Combine like terms: 2r + 3r = 5r
10 + 5r = 0

Solving
10 + 5r = 0

Solving for variable 'r'.

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

Add '-10' to each side of the equation.
10 + -10 + 5r = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5r = 0 + -10
5r = 0 + -10

Combine like terms: 0 + -10 = -10
5r = -10

Divide each side by '5'.
r = -2

Simplifying
r = -2

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