-6(5r+4)-2(5r-3)=22

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Solution for -6(5r+4)-2(5r-3)=22 equation:


Simplifying
-6(5r + 4) + -2(5r + -3) = 22

Reorder the terms:
-6(4 + 5r) + -2(5r + -3) = 22
(4 * -6 + 5r * -6) + -2(5r + -3) = 22
(-24 + -30r) + -2(5r + -3) = 22

Reorder the terms:
-24 + -30r + -2(-3 + 5r) = 22
-24 + -30r + (-3 * -2 + 5r * -2) = 22
-24 + -30r + (6 + -10r) = 22

Reorder the terms:
-24 + 6 + -30r + -10r = 22

Combine like terms: -24 + 6 = -18
-18 + -30r + -10r = 22

Combine like terms: -30r + -10r = -40r
-18 + -40r = 22

Solving
-18 + -40r = 22

Solving for variable 'r'.

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

Add '18' to each side of the equation.
-18 + 18 + -40r = 22 + 18

Combine like terms: -18 + 18 = 0
0 + -40r = 22 + 18
-40r = 22 + 18

Combine like terms: 22 + 18 = 40
-40r = 40

Divide each side by '-40'.
r = -1

Simplifying
r = -1

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