7(6r-2)=-7r+35

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Solution for 7(6r-2)=-7r+35 equation:


Simplifying
7(6r + -2) = -7r + 35

Reorder the terms:
7(-2 + 6r) = -7r + 35
(-2 * 7 + 6r * 7) = -7r + 35
(-14 + 42r) = -7r + 35

Reorder the terms:
-14 + 42r = 35 + -7r

Solving
-14 + 42r = 35 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
-14 + 42r + 7r = 35 + -7r + 7r

Combine like terms: 42r + 7r = 49r
-14 + 49r = 35 + -7r + 7r

Combine like terms: -7r + 7r = 0
-14 + 49r = 35 + 0
-14 + 49r = 35

Add '14' to each side of the equation.
-14 + 14 + 49r = 35 + 14

Combine like terms: -14 + 14 = 0
0 + 49r = 35 + 14
49r = 35 + 14

Combine like terms: 35 + 14 = 49
49r = 49

Divide each side by '49'.
r = 1

Simplifying
r = 1

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