2.3(4.2-3.8)=5.8(6.2-3.1q)+10.36

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Solution for 2.3(4.2-3.8)=5.8(6.2-3.1q)+10.36 equation: 


Simplifying
2.3(4.2 + -3.8) = 5.8(6.2 + -3.1q) + 10.36

Combine like terms: 4.2 + -3.8 = 0.4
2.3(0.4) = 5.8(6.2 + -3.1q) + 10.36

Multiply 2.3 * 0.4
0.92 = 5.8(6.2 + -3.1q) + 10.36
0.92 = (6.2 * 5.8 + -3.1q * 5.8) + 10.36
0.92 = (35.96 + -17.98q) + 10.36

Reorder the terms:
0.92 = 35.96 + 10.36 + -17.98q

Combine like terms: 35.96 + 10.36 = 46.32
0.92 = 46.32 + -17.98q

Solving
0.92 = 46.32 + -17.98q

Solving for variable 'q'.

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

Add '17.98q' to each side of the equation.
0.92 + 17.98q = 46.32 + -17.98q + 17.98q

Combine like terms: -17.98q + 17.98q = 0.00
0.92 + 17.98q = 46.32 + 0.00
0.92 + 17.98q = 46.32

Add '-0.92' to each side of the equation.
0.92 + -0.92 + 17.98q = 46.32 + -0.92

Combine like terms: 0.92 + -0.92 = 0.00
0.00 + 17.98q = 46.32 + -0.92
17.98q = 46.32 + -0.92

Combine like terms: 46.32 + -0.92 = 45.4
17.98q = 45.4

Divide each side by '17.98'.
q = 2.525027809

Simplifying
q = 2.525027809

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