3(5-3(4-q))-5=5(3(5q-4)+2)-26

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Solution for 3(5-3(4-q))-5=5(3(5q-4)+2)-26 equation: 


Simplifying
3(5 + -3(4 + -1q)) + -5 = 5(3(5q + -4) + 2) + -26
3(5 + (4 * -3 + -1q * -3)) + -5 = 5(3(5q + -4) + 2) + -26
3(5 + (-12 + 3q)) + -5 = 5(3(5q + -4) + 2) + -26

Combine like terms: 5 + -12 = -7
3(-7 + 3q) + -5 = 5(3(5q + -4) + 2) + -26
(-7 * 3 + 3q * 3) + -5 = 5(3(5q + -4) + 2) + -26
(-21 + 9q) + -5 = 5(3(5q + -4) + 2) + -26

Reorder the terms:
-21 + -5 + 9q = 5(3(5q + -4) + 2) + -26

Combine like terms: -21 + -5 = -26
-26 + 9q = 5(3(5q + -4) + 2) + -26

Reorder the terms:
-26 + 9q = 5(3(-4 + 5q) + 2) + -26
-26 + 9q = 5((-4 * 3 + 5q * 3) + 2) + -26
-26 + 9q = 5((-12 + 15q) + 2) + -26

Reorder the terms:
-26 + 9q = 5(-12 + 2 + 15q) + -26

Combine like terms: -12 + 2 = -10
-26 + 9q = 5(-10 + 15q) + -26
-26 + 9q = (-10 * 5 + 15q * 5) + -26
-26 + 9q = (-50 + 75q) + -26

Reorder the terms:
-26 + 9q = -50 + -26 + 75q

Combine like terms: -50 + -26 = -76
-26 + 9q = -76 + 75q

Solving
-26 + 9q = -76 + 75q

Solving for variable 'q'.

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

Add '-75q' to each side of the equation.
-26 + 9q + -75q = -76 + 75q + -75q

Combine like terms: 9q + -75q = -66q
-26 + -66q = -76 + 75q + -75q

Combine like terms: 75q + -75q = 0
-26 + -66q = -76 + 0
-26 + -66q = -76

Add '26' to each side of the equation.
-26 + 26 + -66q = -76 + 26

Combine like terms: -26 + 26 = 0
0 + -66q = -76 + 26
-66q = -76 + 26

Combine like terms: -76 + 26 = -50
-66q = -50

Divide each side by '-66'.
q = 0.7575757576

Simplifying
q = 0.7575757576

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