4(4q-6)+2(3q+5)=7q-9

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Solution for 4(4q-6)+2(3q+5)=7q-9 equation:


Simplifying
4(4q + -6) + 2(3q + 5) = 7q + -9

Reorder the terms:
4(-6 + 4q) + 2(3q + 5) = 7q + -9
(-6 * 4 + 4q * 4) + 2(3q + 5) = 7q + -9
(-24 + 16q) + 2(3q + 5) = 7q + -9

Reorder the terms:
-24 + 16q + 2(5 + 3q) = 7q + -9
-24 + 16q + (5 * 2 + 3q * 2) = 7q + -9
-24 + 16q + (10 + 6q) = 7q + -9

Reorder the terms:
-24 + 10 + 16q + 6q = 7q + -9

Combine like terms: -24 + 10 = -14
-14 + 16q + 6q = 7q + -9

Combine like terms: 16q + 6q = 22q
-14 + 22q = 7q + -9

Reorder the terms:
-14 + 22q = -9 + 7q

Solving
-14 + 22q = -9 + 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.
-14 + 22q + -7q = -9 + 7q + -7q

Combine like terms: 22q + -7q = 15q
-14 + 15q = -9 + 7q + -7q

Combine like terms: 7q + -7q = 0
-14 + 15q = -9 + 0
-14 + 15q = -9

Add '14' to each side of the equation.
-14 + 14 + 15q = -9 + 14

Combine like terms: -14 + 14 = 0
0 + 15q = -9 + 14
15q = -9 + 14

Combine like terms: -9 + 14 = 5
15q = 5

Divide each side by '15'.
q = 0.3333333333

Simplifying
q = 0.3333333333

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