15(22-3r)=6r-10(r+8)

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Solution for 15(22-3r)=6r-10(r+8) equation: 


Simplifying
15(22 + -3r) = 6r + -10(r + 8)
(22 * 15 + -3r * 15) = 6r + -10(r + 8)
(330 + -45r) = 6r + -10(r + 8)

Reorder the terms:
330 + -45r = 6r + -10(8 + r)
330 + -45r = 6r + (8 * -10 + r * -10)
330 + -45r = 6r + (-80 + -10r)

Reorder the terms:
330 + -45r = -80 + 6r + -10r

Combine like terms: 6r + -10r = -4r
330 + -45r = -80 + -4r

Solving
330 + -45r = -80 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
330 + -45r + 4r = -80 + -4r + 4r

Combine like terms: -45r + 4r = -41r
330 + -41r = -80 + -4r + 4r

Combine like terms: -4r + 4r = 0
330 + -41r = -80 + 0
330 + -41r = -80

Add '-330' to each side of the equation.
330 + -330 + -41r = -80 + -330

Combine like terms: 330 + -330 = 0
0 + -41r = -80 + -330
-41r = -80 + -330

Combine like terms: -80 + -330 = -410
-41r = -410

Divide each side by '-41'.
r = 10

Simplifying
r = 10

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