5(1-7b)-8=4(1-9b)

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Solution for 5(1-7b)-8=4(1-9b) equation:


Simplifying
5(1 + -7b) + -8 = 4(1 + -9b)
(1 * 5 + -7b * 5) + -8 = 4(1 + -9b)
(5 + -35b) + -8 = 4(1 + -9b)

Reorder the terms:
5 + -8 + -35b = 4(1 + -9b)

Combine like terms: 5 + -8 = -3
-3 + -35b = 4(1 + -9b)
-3 + -35b = (1 * 4 + -9b * 4)
-3 + -35b = (4 + -36b)

Solving
-3 + -35b = 4 + -36b

Solving for variable 'b'.

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

Add '36b' to each side of the equation.
-3 + -35b + 36b = 4 + -36b + 36b

Combine like terms: -35b + 36b = 1b
-3 + 1b = 4 + -36b + 36b

Combine like terms: -36b + 36b = 0
-3 + 1b = 4 + 0
-3 + 1b = 4

Add '3' to each side of the equation.
-3 + 3 + 1b = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 1b = 4 + 3
1b = 4 + 3

Combine like terms: 4 + 3 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7

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