3(b-21)=27-3(b-4)

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Solution for 3(b-21)=27-3(b-4) equation:


Simplifying
3(b + -21) = 27 + -3(b + -4)

Reorder the terms:
3(-21 + b) = 27 + -3(b + -4)
(-21 * 3 + b * 3) = 27 + -3(b + -4)
(-63 + 3b) = 27 + -3(b + -4)

Reorder the terms:
-63 + 3b = 27 + -3(-4 + b)
-63 + 3b = 27 + (-4 * -3 + b * -3)
-63 + 3b = 27 + (12 + -3b)

Combine like terms: 27 + 12 = 39
-63 + 3b = 39 + -3b

Solving
-63 + 3b = 39 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
-63 + 3b + 3b = 39 + -3b + 3b

Combine like terms: 3b + 3b = 6b
-63 + 6b = 39 + -3b + 3b

Combine like terms: -3b + 3b = 0
-63 + 6b = 39 + 0
-63 + 6b = 39

Add '63' to each side of the equation.
-63 + 63 + 6b = 39 + 63

Combine like terms: -63 + 63 = 0
0 + 6b = 39 + 63
6b = 39 + 63

Combine like terms: 39 + 63 = 102
6b = 102

Divide each side by '6'.
b = 17

Simplifying
b = 17

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