7b-(6(4(3b-7)-(9b+10))+11)=p

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Solution for 7b-(6(4(3b-7)-(9b+10))+11)=p equation:


Simplifying
7b + -1(6(4(3b + -7) + -1(9b + 10)) + 11) = p

Reorder the terms:
7b + -1(6(4(-7 + 3b) + -1(9b + 10)) + 11) = p
7b + -1(6((-7 * 4 + 3b * 4) + -1(9b + 10)) + 11) = p
7b + -1(6((-28 + 12b) + -1(9b + 10)) + 11) = p

Reorder the terms:
7b + -1(6(-28 + 12b + -1(10 + 9b)) + 11) = p
7b + -1(6(-28 + 12b + (10 * -1 + 9b * -1)) + 11) = p
7b + -1(6(-28 + 12b + (-10 + -9b)) + 11) = p

Reorder the terms:
7b + -1(6(-28 + -10 + 12b + -9b) + 11) = p

Combine like terms: -28 + -10 = -38
7b + -1(6(-38 + 12b + -9b) + 11) = p

Combine like terms: 12b + -9b = 3b
7b + -1(6(-38 + 3b) + 11) = p
7b + -1((-38 * 6 + 3b * 6) + 11) = p
7b + -1((-228 + 18b) + 11) = p

Reorder the terms:
7b + -1(-228 + 11 + 18b) = p

Combine like terms: -228 + 11 = -217
7b + -1(-217 + 18b) = p
7b + (-217 * -1 + 18b * -1) = p
7b + (217 + -18b) = p

Reorder the terms:
217 + 7b + -18b = p

Combine like terms: 7b + -18b = -11b
217 + -11b = p

Solving
217 + -11b = p

Solving for variable 'b'.

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

Add '-217' to each side of the equation.
217 + -217 + -11b = -217 + p

Combine like terms: 217 + -217 = 0
0 + -11b = -217 + p
-11b = -217 + p

Divide each side by '-11'.
b = 19.72727273 + -0.09090909091p

Simplifying
b = 19.72727273 + -0.09090909091p

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