15(b+2)15=2b-9

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Solution for 15(b+2)15=2b-9 equation:


Simplifying
15(b + 2) * 15 = 2b + -9

Reorder the terms:
15(2 + b) * 15 = 2b + -9

Reorder the terms for easier multiplication:
15 * 15(2 + b) = 2b + -9

Multiply 15 * 15
225(2 + b) = 2b + -9
(2 * 225 + b * 225) = 2b + -9
(450 + 225b) = 2b + -9

Reorder the terms:
450 + 225b = -9 + 2b

Solving
450 + 225b = -9 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
450 + 225b + -2b = -9 + 2b + -2b

Combine like terms: 225b + -2b = 223b
450 + 223b = -9 + 2b + -2b

Combine like terms: 2b + -2b = 0
450 + 223b = -9 + 0
450 + 223b = -9

Add '-450' to each side of the equation.
450 + -450 + 223b = -9 + -450

Combine like terms: 450 + -450 = 0
0 + 223b = -9 + -450
223b = -9 + -450

Combine like terms: -9 + -450 = -459
223b = -459

Divide each side by '223'.
b = -2.058295964

Simplifying
b = -2.058295964

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