11-17q-20q=-5(11q+19)-20

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Solution for 11-17q-20q=-5(11q+19)-20 equation:


Simplifying
11 + -17q + -20q = -5(11q + 19) + -20

Combine like terms: -17q + -20q = -37q
11 + -37q = -5(11q + 19) + -20

Reorder the terms:
11 + -37q = -5(19 + 11q) + -20
11 + -37q = (19 * -5 + 11q * -5) + -20
11 + -37q = (-95 + -55q) + -20

Reorder the terms:
11 + -37q = -95 + -20 + -55q

Combine like terms: -95 + -20 = -115
11 + -37q = -115 + -55q

Solving
11 + -37q = -115 + -55q

Solving for variable 'q'.

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

Add '55q' to each side of the equation.
11 + -37q + 55q = -115 + -55q + 55q

Combine like terms: -37q + 55q = 18q
11 + 18q = -115 + -55q + 55q

Combine like terms: -55q + 55q = 0
11 + 18q = -115 + 0
11 + 18q = -115

Add '-11' to each side of the equation.
11 + -11 + 18q = -115 + -11

Combine like terms: 11 + -11 = 0
0 + 18q = -115 + -11
18q = -115 + -11

Combine like terms: -115 + -11 = -126
18q = -126

Divide each side by '18'.
q = -7

Simplifying
q = -7

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