44=7(r-16)+5(3r-20)

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Solution for 44=7(r-16)+5(3r-20) equation: 


Simplifying
44 = 7(r + -16) + 5(3r + -20)

Reorder the terms:
44 = 7(-16 + r) + 5(3r + -20)
44 = (-16 * 7 + r * 7) + 5(3r + -20)
44 = (-112 + 7r) + 5(3r + -20)

Reorder the terms:
44 = -112 + 7r + 5(-20 + 3r)
44 = -112 + 7r + (-20 * 5 + 3r * 5)
44 = -112 + 7r + (-100 + 15r)

Reorder the terms:
44 = -112 + -100 + 7r + 15r

Combine like terms: -112 + -100 = -212
44 = -212 + 7r + 15r

Combine like terms: 7r + 15r = 22r
44 = -212 + 22r

Solving
44 = -212 + 22r

Solving for variable 'r'.

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

Add '-22r' to each side of the equation.
44 + -22r = -212 + 22r + -22r

Combine like terms: 22r + -22r = 0
44 + -22r = -212 + 0
44 + -22r = -212

Add '-44' to each side of the equation.
44 + -44 + -22r = -212 + -44

Combine like terms: 44 + -44 = 0
0 + -22r = -212 + -44
-22r = -212 + -44

Combine like terms: -212 + -44 = -256
-22r = -256

Divide each side by '-22'.
r = 11.63636364

Simplifying
r = 11.63636364

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