4.7-(0.3+q)=-10(-1.1q-(0.1-q))

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Solution for 4.7-(0.3+q)=-10(-1.1q-(0.1-q)) equation: 


Simplifying
4.7 + -1(0.3 + q) = -10(-1.1q + -1(0.1 + -1q))
4.7 + (0.3 * -1 + q * -1) = -10(-1.1q + -1(0.1 + -1q))
4.7 + (-0.3 + -1q) = -10(-1.1q + -1(0.1 + -1q))

Combine like terms: 4.7 + -0.3 = 4.4
4.4 + -1q = -10(-1.1q + -1(0.1 + -1q))
4.4 + -1q = -10(-1.1q + (0.1 * -1 + -1q * -1))
4.4 + -1q = -10(-1.1q + (-0.1 + 1q))

Reorder the terms:
4.4 + -1q = -10(-0.1 + -1.1q + 1q)

Combine like terms: -1.1q + 1q = -0.1q
4.4 + -1q = -10(-0.1 + -0.1q)
4.4 + -1q = (-0.1 * -10 + -0.1q * -10)
4.4 + -1q = (1 + 1q)

Solving
4.4 + -1q = 1 + 1q

Solving for variable 'q'.

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

Add '-1q' to each side of the equation.
4.4 + -1q + -1q = 1 + 1q + -1q

Combine like terms: -1q + -1q = -2q
4.4 + -2q = 1 + 1q + -1q

Combine like terms: 1q + -1q = 0
4.4 + -2q = 1 + 0
4.4 + -2q = 1

Add '-4.4' to each side of the equation.
4.4 + -4.4 + -2q = 1 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + -2q = 1 + -4.4
-2q = 1 + -4.4

Combine like terms: 1 + -4.4 = -3.4
-2q = -3.4

Divide each side by '-2'.
q = 1.7

Simplifying
q = 1.7

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