22=-5(3-6r)+7r

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Solution for 22=-5(3-6r)+7r equation:


Simplifying
22 = -5(3 + -6r) + 7r
22 = (3 * -5 + -6r * -5) + 7r
22 = (-15 + 30r) + 7r

Combine like terms: 30r + 7r = 37r
22 = -15 + 37r

Solving
22 = -15 + 37r

Solving for variable 'r'.

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

Add '-37r' to each side of the equation.
22 + -37r = -15 + 37r + -37r

Combine like terms: 37r + -37r = 0
22 + -37r = -15 + 0
22 + -37r = -15

Add '-22' to each side of the equation.
22 + -22 + -37r = -15 + -22

Combine like terms: 22 + -22 = 0
0 + -37r = -15 + -22
-37r = -15 + -22

Combine like terms: -15 + -22 = -37
-37r = -37

Divide each side by '-37'.
r = 1

Simplifying
r = 1

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