-5(7r-18)+17=-19r+8+19

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Solution for -5(7r-18)+17=-19r+8+19 equation:


Simplifying
-5(7r + -18) + 17 = -19r + 8 + 19

Reorder the terms:
-5(-18 + 7r) + 17 = -19r + 8 + 19
(-18 * -5 + 7r * -5) + 17 = -19r + 8 + 19
(90 + -35r) + 17 = -19r + 8 + 19

Reorder the terms:
90 + 17 + -35r = -19r + 8 + 19

Combine like terms: 90 + 17 = 107
107 + -35r = -19r + 8 + 19

Reorder the terms:
107 + -35r = 8 + 19 + -19r

Combine like terms: 8 + 19 = 27
107 + -35r = 27 + -19r

Solving
107 + -35r = 27 + -19r

Solving for variable 'r'.

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

Add '19r' to each side of the equation.
107 + -35r + 19r = 27 + -19r + 19r

Combine like terms: -35r + 19r = -16r
107 + -16r = 27 + -19r + 19r

Combine like terms: -19r + 19r = 0
107 + -16r = 27 + 0
107 + -16r = 27

Add '-107' to each side of the equation.
107 + -107 + -16r = 27 + -107

Combine like terms: 107 + -107 = 0
0 + -16r = 27 + -107
-16r = 27 + -107

Combine like terms: 27 + -107 = -80
-16r = -80

Divide each side by '-16'.
r = 5

Simplifying
r = 5

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