13=-3(21-b)+2(b-2)

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Solution for 13=-3(21-b)+2(b-2) equation:


Simplifying
13 = -3(21 + -1b) + 2(b + -2)
13 = (21 * -3 + -1b * -3) + 2(b + -2)
13 = (-63 + 3b) + 2(b + -2)

Reorder the terms:
13 = -63 + 3b + 2(-2 + b)
13 = -63 + 3b + (-2 * 2 + b * 2)
13 = -63 + 3b + (-4 + 2b)

Reorder the terms:
13 = -63 + -4 + 3b + 2b

Combine like terms: -63 + -4 = -67
13 = -67 + 3b + 2b

Combine like terms: 3b + 2b = 5b
13 = -67 + 5b

Solving
13 = -67 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
13 + -5b = -67 + 5b + -5b

Combine like terms: 5b + -5b = 0
13 + -5b = -67 + 0
13 + -5b = -67

Add '-13' to each side of the equation.
13 + -13 + -5b = -67 + -13

Combine like terms: 13 + -13 = 0
0 + -5b = -67 + -13
-5b = -67 + -13

Combine like terms: -67 + -13 = -80
-5b = -80

Divide each side by '-5'.
b = 16

Simplifying
b = 16

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