31-3b=7(4b+9)

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Solution for 31-3b=7(4b+9) equation:


Simplifying
31 + -3b = 7(4b + 9)

Reorder the terms:
31 + -3b = 7(9 + 4b)
31 + -3b = (9 * 7 + 4b * 7)
31 + -3b = (63 + 28b)

Solving
31 + -3b = 63 + 28b

Solving for variable 'b'.

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

Add '-28b' to each side of the equation.
31 + -3b + -28b = 63 + 28b + -28b

Combine like terms: -3b + -28b = -31b
31 + -31b = 63 + 28b + -28b

Combine like terms: 28b + -28b = 0
31 + -31b = 63 + 0
31 + -31b = 63

Add '-31' to each side of the equation.
31 + -31 + -31b = 63 + -31

Combine like terms: 31 + -31 = 0
0 + -31b = 63 + -31
-31b = 63 + -31

Combine like terms: 63 + -31 = 32
-31b = 32

Divide each side by '-31'.
b = -1.032258065

Simplifying
b = -1.032258065

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