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

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


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

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

Reorder the terms:
4 + 4r = 3(3 + r)
4 + 4r = (3 * 3 + r * 3)
4 + 4r = (9 + 3r)

Solving
4 + 4r = 9 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
4 + 4r + -3r = 9 + 3r + -3r

Combine like terms: 4r + -3r = 1r
4 + 1r = 9 + 3r + -3r

Combine like terms: 3r + -3r = 0
4 + 1r = 9 + 0
4 + 1r = 9

Add '-4' to each side of the equation.
4 + -4 + 1r = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 1r = 9 + -4
1r = 9 + -4

Combine like terms: 9 + -4 = 5
1r = 5

Divide each side by '1'.
r = 5

Simplifying
r = 5

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