-67=5(-7r+7)+3

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Solution for -67=5(-7r+7)+3 equation:


Simplifying
-67 = 5(-7r + 7) + 3

Reorder the terms:
-67 = 5(7 + -7r) + 3
-67 = (7 * 5 + -7r * 5) + 3
-67 = (35 + -35r) + 3

Reorder the terms:
-67 = 35 + 3 + -35r

Combine like terms: 35 + 3 = 38
-67 = 38 + -35r

Solving
-67 = 38 + -35r

Solving for variable 'r'.

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

Add '35r' to each side of the equation.
-67 + 35r = 38 + -35r + 35r

Combine like terms: -35r + 35r = 0
-67 + 35r = 38 + 0
-67 + 35r = 38

Add '67' to each side of the equation.
-67 + 67 + 35r = 38 + 67

Combine like terms: -67 + 67 = 0
0 + 35r = 38 + 67
35r = 38 + 67

Combine like terms: 38 + 67 = 105
35r = 105

Divide each side by '35'.
r = 3

Simplifying
r = 3

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