8q-q+7-4-3Q=7+4(10)

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Solution for 8q-q+7-4-3Q=7+4(10) equation: 


Simplifying
8q + -1q + 7 + -4 + -3Q = 7 + 4(10)

Reorder the terms:
7 + -4 + -3Q + 8q + -1q = 7 + 4(10)

Combine like terms: 7 + -4 = 3
3 + -3Q + 8q + -1q = 7 + 4(10)

Combine like terms: 8q + -1q = 7q
3 + -3Q + 7q = 7 + 4(10)

Multiply 4 * 10
3 + -3Q + 7q = 7 + 40

Combine like terms: 7 + 40 = 47
3 + -3Q + 7q = 47

Solving
3 + -3Q + 7q = 47

Solving for variable 'Q'.

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

Add '-3' to each side of the equation.
3 + -3Q + -3 + 7q = 47 + -3

Reorder the terms:
3 + -3 + -3Q + 7q = 47 + -3

Combine like terms: 3 + -3 = 0
0 + -3Q + 7q = 47 + -3
-3Q + 7q = 47 + -3

Combine like terms: 47 + -3 = 44
-3Q + 7q = 44

Add '-7q' to each side of the equation.
-3Q + 7q + -7q = 44 + -7q

Combine like terms: 7q + -7q = 0
-3Q + 0 = 44 + -7q
-3Q = 44 + -7q

Divide each side by '-3'.
Q = -14.66666667 + 2.333333333q

Simplifying
Q = -14.66666667 + 2.333333333q

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