-10+15r-17=-11r+7(6r+19)

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Solution for -10+15r-17=-11r+7(6r+19) equation:


Simplifying
-10 + 15r + -17 = -11r + 7(6r + 19)

Reorder the terms:
-10 + -17 + 15r = -11r + 7(6r + 19)

Combine like terms: -10 + -17 = -27
-27 + 15r = -11r + 7(6r + 19)

Reorder the terms:
-27 + 15r = -11r + 7(19 + 6r)
-27 + 15r = -11r + (19 * 7 + 6r * 7)
-27 + 15r = -11r + (133 + 42r)

Reorder the terms:
-27 + 15r = 133 + -11r + 42r

Combine like terms: -11r + 42r = 31r
-27 + 15r = 133 + 31r

Solving
-27 + 15r = 133 + 31r

Solving for variable 'r'.

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

Add '-31r' to each side of the equation.
-27 + 15r + -31r = 133 + 31r + -31r

Combine like terms: 15r + -31r = -16r
-27 + -16r = 133 + 31r + -31r

Combine like terms: 31r + -31r = 0
-27 + -16r = 133 + 0
-27 + -16r = 133

Add '27' to each side of the equation.
-27 + 27 + -16r = 133 + 27

Combine like terms: -27 + 27 = 0
0 + -16r = 133 + 27
-16r = 133 + 27

Combine like terms: 133 + 27 = 160
-16r = 160

Divide each side by '-16'.
r = -10

Simplifying
r = -10

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