38-3r=5r+6(7r-2)

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Solution for 38-3r=5r+6(7r-2) equation:


Simplifying
38 + -3r = 5r + 6(7r + -2)

Reorder the terms:
38 + -3r = 5r + 6(-2 + 7r)
38 + -3r = 5r + (-2 * 6 + 7r * 6)
38 + -3r = 5r + (-12 + 42r)

Reorder the terms:
38 + -3r = -12 + 5r + 42r

Combine like terms: 5r + 42r = 47r
38 + -3r = -12 + 47r

Solving
38 + -3r = -12 + 47r

Solving for variable 'r'.

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

Add '-47r' to each side of the equation.
38 + -3r + -47r = -12 + 47r + -47r

Combine like terms: -3r + -47r = -50r
38 + -50r = -12 + 47r + -47r

Combine like terms: 47r + -47r = 0
38 + -50r = -12 + 0
38 + -50r = -12

Add '-38' to each side of the equation.
38 + -38 + -50r = -12 + -38

Combine like terms: 38 + -38 = 0
0 + -50r = -12 + -38
-50r = -12 + -38

Combine like terms: -12 + -38 = -50
-50r = -50

Divide each side by '-50'.
r = 1

Simplifying
r = 1

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