-7+8(5-3b)=3(7-9b)

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Solution for -7+8(5-3b)=3(7-9b) equation:


Simplifying
-7 + 8(5 + -3b) = 3(7 + -9b)
-7 + (5 * 8 + -3b * 8) = 3(7 + -9b)
-7 + (40 + -24b) = 3(7 + -9b)

Combine like terms: -7 + 40 = 33
33 + -24b = 3(7 + -9b)
33 + -24b = (7 * 3 + -9b * 3)
33 + -24b = (21 + -27b)

Solving
33 + -24b = 21 + -27b

Solving for variable 'b'.

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

Add '27b' to each side of the equation.
33 + -24b + 27b = 21 + -27b + 27b

Combine like terms: -24b + 27b = 3b
33 + 3b = 21 + -27b + 27b

Combine like terms: -27b + 27b = 0
33 + 3b = 21 + 0
33 + 3b = 21

Add '-33' to each side of the equation.
33 + -33 + 3b = 21 + -33

Combine like terms: 33 + -33 = 0
0 + 3b = 21 + -33
3b = 21 + -33

Combine like terms: 21 + -33 = -12
3b = -12

Divide each side by '3'.
b = -4

Simplifying
b = -4

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