6q-(3q+6)=9-(7q-4)

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Solution for 6q-(3q+6)=9-(7q-4) equation:


Simplifying
6q + -1(3q + 6) = 9 + -1(7q + -4)

Reorder the terms:
6q + -1(6 + 3q) = 9 + -1(7q + -4)
6q + (6 * -1 + 3q * -1) = 9 + -1(7q + -4)
6q + (-6 + -3q) = 9 + -1(7q + -4)

Reorder the terms:
-6 + 6q + -3q = 9 + -1(7q + -4)

Combine like terms: 6q + -3q = 3q
-6 + 3q = 9 + -1(7q + -4)

Reorder the terms:
-6 + 3q = 9 + -1(-4 + 7q)
-6 + 3q = 9 + (-4 * -1 + 7q * -1)
-6 + 3q = 9 + (4 + -7q)

Combine like terms: 9 + 4 = 13
-6 + 3q = 13 + -7q

Solving
-6 + 3q = 13 + -7q

Solving for variable 'q'.

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

Add '7q' to each side of the equation.
-6 + 3q + 7q = 13 + -7q + 7q

Combine like terms: 3q + 7q = 10q
-6 + 10q = 13 + -7q + 7q

Combine like terms: -7q + 7q = 0
-6 + 10q = 13 + 0
-6 + 10q = 13

Add '6' to each side of the equation.
-6 + 6 + 10q = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 10q = 13 + 6
10q = 13 + 6

Combine like terms: 13 + 6 = 19
10q = 19

Divide each side by '10'.
q = 1.9

Simplifying
q = 1.9

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