5-0.3(q-15)=0.7(4q-15)

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Solution for 5-0.3(q-15)=0.7(4q-15) equation: 


Simplifying
5 + -0.3(q + -15) = 0.7(4q + -15)

Reorder the terms:
5 + -0.3(-15 + q) = 0.7(4q + -15)
5 + (-15 * -0.3 + q * -0.3) = 0.7(4q + -15)
5 + (4.5 + -0.3q) = 0.7(4q + -15)

Combine like terms: 5 + 4.5 = 9.5
9.5 + -0.3q = 0.7(4q + -15)

Reorder the terms:
9.5 + -0.3q = 0.7(-15 + 4q)
9.5 + -0.3q = (-15 * 0.7 + 4q * 0.7)
9.5 + -0.3q = (-10.5 + 2.8q)

Solving
9.5 + -0.3q = -10.5 + 2.8q

Solving for variable 'q'.

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

Add '-2.8q' to each side of the equation.
9.5 + -0.3q + -2.8q = -10.5 + 2.8q + -2.8q

Combine like terms: -0.3q + -2.8q = -3.1q
9.5 + -3.1q = -10.5 + 2.8q + -2.8q

Combine like terms: 2.8q + -2.8q = 0.0
9.5 + -3.1q = -10.5 + 0.0
9.5 + -3.1q = -10.5

Add '-9.5' to each side of the equation.
9.5 + -9.5 + -3.1q = -10.5 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + -3.1q = -10.5 + -9.5
-3.1q = -10.5 + -9.5

Combine like terms: -10.5 + -9.5 = -20
-3.1q = -20

Divide each side by '-3.1'.
q = 6.451612903

Simplifying
q = 6.451612903

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