-62=-7(1-7r)+6(7r+6)

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Solution for -62=-7(1-7r)+6(7r+6) equation:


Simplifying
-62 = -7(1 + -7r) + 6(7r + 6)
-62 = (1 * -7 + -7r * -7) + 6(7r + 6)
-62 = (-7 + 49r) + 6(7r + 6)

Reorder the terms:
-62 = -7 + 49r + 6(6 + 7r)
-62 = -7 + 49r + (6 * 6 + 7r * 6)
-62 = -7 + 49r + (36 + 42r)

Reorder the terms:
-62 = -7 + 36 + 49r + 42r

Combine like terms: -7 + 36 = 29
-62 = 29 + 49r + 42r

Combine like terms: 49r + 42r = 91r
-62 = 29 + 91r

Solving
-62 = 29 + 91r

Solving for variable 'r'.

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

Add '-91r' to each side of the equation.
-62 + -91r = 29 + 91r + -91r

Combine like terms: 91r + -91r = 0
-62 + -91r = 29 + 0
-62 + -91r = 29

Add '62' to each side of the equation.
-62 + 62 + -91r = 29 + 62

Combine like terms: -62 + 62 = 0
0 + -91r = 29 + 62
-91r = 29 + 62

Combine like terms: 29 + 62 = 91
-91r = 91

Divide each side by '-91'.
r = -1

Simplifying
r = -1

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