10q+3(5-2q)+4(7q+4)=

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Solution for 10q+3(5-2q)+4(7q+4)= equation: 


Simplifying
10q + 3(5 + -2q) + 4(7q + 4) = 0
10q + (5 * 3 + -2q * 3) + 4(7q + 4) = 0
10q + (15 + -6q) + 4(7q + 4) = 0

Reorder the terms:
10q + 15 + -6q + 4(4 + 7q) = 0
10q + 15 + -6q + (4 * 4 + 7q * 4) = 0
10q + 15 + -6q + (16 + 28q) = 0

Reorder the terms:
15 + 16 + 10q + -6q + 28q = 0

Combine like terms: 15 + 16 = 31
31 + 10q + -6q + 28q = 0

Combine like terms: 10q + -6q = 4q
31 + 4q + 28q = 0

Combine like terms: 4q + 28q = 32q
31 + 32q = 0

Solving
31 + 32q = 0

Solving for variable 'q'.

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

Add '-31' to each side of the equation.
31 + -31 + 32q = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 32q = 0 + -31
32q = 0 + -31

Combine like terms: 0 + -31 = -31
32q = -31

Divide each side by '32'.
q = -0.96875

Simplifying
q = -0.96875

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