4(r+3)-3(r-1)=-5

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Solution for 4(r+3)-3(r-1)=-5 equation: 


Simplifying
4(r + 3) + -3(r + -1) = -5

Reorder the terms:
4(3 + r) + -3(r + -1) = -5
(3 * 4 + r * 4) + -3(r + -1) = -5
(12 + 4r) + -3(r + -1) = -5

Reorder the terms:
12 + 4r + -3(-1 + r) = -5
12 + 4r + (-1 * -3 + r * -3) = -5
12 + 4r + (3 + -3r) = -5

Reorder the terms:
12 + 3 + 4r + -3r = -5

Combine like terms: 12 + 3 = 15
15 + 4r + -3r = -5

Combine like terms: 4r + -3r = 1r
15 + 1r = -5

Solving
15 + 1r = -5

Solving for variable 'r'.

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

Add '-15' to each side of the equation.
15 + -15 + 1r = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 1r = -5 + -15
1r = -5 + -15

Combine like terms: -5 + -15 = -20
1r = -20

Divide each side by '1'.
r = -20

Simplifying
r = -20

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