34-(3r+11)=7-4(r+1)

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Solution for 34-(3r+11)=7-4(r+1) equation:


Simplifying
34 + -1(3r + 11) = 7 + -4(r + 1)

Reorder the terms:
34 + -1(11 + 3r) = 7 + -4(r + 1)
34 + (11 * -1 + 3r * -1) = 7 + -4(r + 1)
34 + (-11 + -3r) = 7 + -4(r + 1)

Combine like terms: 34 + -11 = 23
23 + -3r = 7 + -4(r + 1)

Reorder the terms:
23 + -3r = 7 + -4(1 + r)
23 + -3r = 7 + (1 * -4 + r * -4)
23 + -3r = 7 + (-4 + -4r)

Combine like terms: 7 + -4 = 3
23 + -3r = 3 + -4r

Solving
23 + -3r = 3 + -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.
23 + -3r + 4r = 3 + -4r + 4r

Combine like terms: -3r + 4r = 1r
23 + 1r = 3 + -4r + 4r

Combine like terms: -4r + 4r = 0
23 + 1r = 3 + 0
23 + 1r = 3

Add '-23' to each side of the equation.
23 + -23 + 1r = 3 + -23

Combine like terms: 23 + -23 = 0
0 + 1r = 3 + -23
1r = 3 + -23

Combine like terms: 3 + -23 = -20
1r = -20

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

Simplifying
r = -20

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