(11(a-3)+12a)-(6(4(3b-7)-(9b+10))+11)=p

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Solution for (11(a-3)+12a)-(6(4(3b-7)-(9b+10))+11)=p equation:


Simplifying
(11(a + -3) + 12a) + -1(6(4(3b + -7) + -1(9b + 10)) + 11) = p

Reorder the terms:
(11(-3 + a) + 12a) + -1(6(4(3b + -7) + -1(9b + 10)) + 11) = p
((-3 * 11 + a * 11) + 12a) + -1(6(4(3b + -7) + -1(9b + 10)) + 11) = p
((-33 + 11a) + 12a) + -1(6(4(3b + -7) + -1(9b + 10)) + 11) = p

Combine like terms: 11a + 12a = 23a
(-33 + 23a) + -1(6(4(3b + -7) + -1(9b + 10)) + 11) = p

Remove parenthesis around (-33 + 23a)
-33 + 23a + -1(6(4(3b + -7) + -1(9b + 10)) + 11) = p

Reorder the terms:
-33 + 23a + -1(6(4(-7 + 3b) + -1(9b + 10)) + 11) = p
-33 + 23a + -1(6((-7 * 4 + 3b * 4) + -1(9b + 10)) + 11) = p
-33 + 23a + -1(6((-28 + 12b) + -1(9b + 10)) + 11) = p

Reorder the terms:
-33 + 23a + -1(6(-28 + 12b + -1(10 + 9b)) + 11) = p
-33 + 23a + -1(6(-28 + 12b + (10 * -1 + 9b * -1)) + 11) = p
-33 + 23a + -1(6(-28 + 12b + (-10 + -9b)) + 11) = p

Reorder the terms:
-33 + 23a + -1(6(-28 + -10 + 12b + -9b) + 11) = p

Combine like terms: -28 + -10 = -38
-33 + 23a + -1(6(-38 + 12b + -9b) + 11) = p

Combine like terms: 12b + -9b = 3b
-33 + 23a + -1(6(-38 + 3b) + 11) = p
-33 + 23a + -1((-38 * 6 + 3b * 6) + 11) = p
-33 + 23a + -1((-228 + 18b) + 11) = p

Reorder the terms:
-33 + 23a + -1(-228 + 11 + 18b) = p

Combine like terms: -228 + 11 = -217
-33 + 23a + -1(-217 + 18b) = p
-33 + 23a + (-217 * -1 + 18b * -1) = p
-33 + 23a + (217 + -18b) = p

Reorder the terms:
-33 + 217 + 23a + -18b = p

Combine like terms: -33 + 217 = 184
184 + 23a + -18b = p

Solving
184 + 23a + -18b = p

Solving for variable 'a'.

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

Add '-184' to each side of the equation.
184 + 23a + -184 + -18b = -184 + p

Reorder the terms:
184 + -184 + 23a + -18b = -184 + p

Combine like terms: 184 + -184 = 0
0 + 23a + -18b = -184 + p
23a + -18b = -184 + p

Add '18b' to each side of the equation.
23a + -18b + 18b = -184 + 18b + p

Combine like terms: -18b + 18b = 0
23a + 0 = -184 + 18b + p
23a = -184 + 18b + p

Divide each side by '23'.
a = -8 + 0.7826086957b + 0.04347826087p

Simplifying
a = -8 + 0.7826086957b + 0.04347826087p

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