-9=-3(7r-5)-2(1-5r)

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Solution for -9=-3(7r-5)-2(1-5r) equation:


Simplifying
-9 = -3(7r + -5) + -2(1 + -5r)

Reorder the terms:
-9 = -3(-5 + 7r) + -2(1 + -5r)
-9 = (-5 * -3 + 7r * -3) + -2(1 + -5r)
-9 = (15 + -21r) + -2(1 + -5r)
-9 = 15 + -21r + (1 * -2 + -5r * -2)
-9 = 15 + -21r + (-2 + 10r)

Reorder the terms:
-9 = 15 + -2 + -21r + 10r

Combine like terms: 15 + -2 = 13
-9 = 13 + -21r + 10r

Combine like terms: -21r + 10r = -11r
-9 = 13 + -11r

Solving
-9 = 13 + -11r

Solving for variable 'r'.

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

Add '11r' to each side of the equation.
-9 + 11r = 13 + -11r + 11r

Combine like terms: -11r + 11r = 0
-9 + 11r = 13 + 0
-9 + 11r = 13

Add '9' to each side of the equation.
-9 + 9 + 11r = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 11r = 13 + 9
11r = 13 + 9

Combine like terms: 13 + 9 = 22
11r = 22

Divide each side by '11'.
r = 2

Simplifying
r = 2

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