217=-7(4b-7)

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Solution for 217=-7(4b-7) equation:


Simplifying
217 = -7(4b + -7)

Reorder the terms:
217 = -7(-7 + 4b)
217 = (-7 * -7 + 4b * -7)
217 = (49 + -28b)

Solving
217 = 49 + -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.
217 + 28b = 49 + -28b + 28b

Combine like terms: -28b + 28b = 0
217 + 28b = 49 + 0
217 + 28b = 49

Add '-217' to each side of the equation.
217 + -217 + 28b = 49 + -217

Combine like terms: 217 + -217 = 0
0 + 28b = 49 + -217
28b = 49 + -217

Combine like terms: 49 + -217 = -168
28b = -168

Divide each side by '28'.
b = -6

Simplifying
b = -6

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