0.667=7q-4(2.25q-0.333)

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Solution for 0.667=7q-4(2.25q-0.333) equation:


Simplifying
0.667 = 7q + -4(2.25q + -0.333)

Reorder the terms:
0.667 = 7q + -4(-0.333 + 2.25q)
0.667 = 7q + (-0.333 * -4 + 2.25q * -4)
0.667 = 7q + (1.332 + -9q)

Reorder the terms:
0.667 = 1.332 + 7q + -9q

Combine like terms: 7q + -9q = -2q
0.667 = 1.332 + -2q

Solving
0.667 = 1.332 + -2q

Solving for variable 'q'.

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

Add '2q' to each side of the equation.
0.667 + 2q = 1.332 + -2q + 2q

Combine like terms: -2q + 2q = 0
0.667 + 2q = 1.332 + 0
0.667 + 2q = 1.332

Add '-0.667' to each side of the equation.
0.667 + -0.667 + 2q = 1.332 + -0.667

Combine like terms: 0.667 + -0.667 = 0.000
0.000 + 2q = 1.332 + -0.667
2q = 1.332 + -0.667

Combine like terms: 1.332 + -0.667 = 0.665
2q = 0.665

Divide each side by '2'.
q = 0.3325

Simplifying
q = 0.3325

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