5(-8+3r)=4(r+1)

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Solution for 5(-8+3r)=4(r+1) equation:


Simplifying
5(-8 + 3r) = 4(r + 1)
(-8 * 5 + 3r * 5) = 4(r + 1)
(-40 + 15r) = 4(r + 1)

Reorder the terms:
-40 + 15r = 4(1 + r)
-40 + 15r = (1 * 4 + r * 4)
-40 + 15r = (4 + 4r)

Solving
-40 + 15r = 4 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-40 + 15r + -4r = 4 + 4r + -4r

Combine like terms: 15r + -4r = 11r
-40 + 11r = 4 + 4r + -4r

Combine like terms: 4r + -4r = 0
-40 + 11r = 4 + 0
-40 + 11r = 4

Add '40' to each side of the equation.
-40 + 40 + 11r = 4 + 40

Combine like terms: -40 + 40 = 0
0 + 11r = 4 + 40
11r = 4 + 40

Combine like terms: 4 + 40 = 44
11r = 44

Divide each side by '11'.
r = 4

Simplifying
r = 4

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