10(3+4r)-7=5(-11+9r)-11r

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Solution for 10(3+4r)-7=5(-11+9r)-11r equation:


Simplifying
10(3 + 4r) + -7 = 5(-11 + 9r) + -11r
(3 * 10 + 4r * 10) + -7 = 5(-11 + 9r) + -11r
(30 + 40r) + -7 = 5(-11 + 9r) + -11r

Reorder the terms:
30 + -7 + 40r = 5(-11 + 9r) + -11r

Combine like terms: 30 + -7 = 23
23 + 40r = 5(-11 + 9r) + -11r
23 + 40r = (-11 * 5 + 9r * 5) + -11r
23 + 40r = (-55 + 45r) + -11r

Combine like terms: 45r + -11r = 34r
23 + 40r = -55 + 34r

Solving
23 + 40r = -55 + 34r

Solving for variable 'r'.

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

Add '-34r' to each side of the equation.
23 + 40r + -34r = -55 + 34r + -34r

Combine like terms: 40r + -34r = 6r
23 + 6r = -55 + 34r + -34r

Combine like terms: 34r + -34r = 0
23 + 6r = -55 + 0
23 + 6r = -55

Add '-23' to each side of the equation.
23 + -23 + 6r = -55 + -23

Combine like terms: 23 + -23 = 0
0 + 6r = -55 + -23
6r = -55 + -23

Combine like terms: -55 + -23 = -78
6r = -78

Divide each side by '6'.
r = -13

Simplifying
r = -13

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