14.2-0.89+2.8-0.7q=10-1.5q-5.1

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Solution for 14.2-0.89+2.8-0.7q=10-1.5q-5.1 equation: 


Simplifying
14.2 + -0.89 + 2.8 + -0.7q = 10 + -1.5q + -5.1

Combine like terms: 14.2 + -0.89 = 13.31
13.31 + 2.8 + -0.7q = 10 + -1.5q + -5.1

Combine like terms: 13.31 + 2.8 = 16.11
16.11 + -0.7q = 10 + -1.5q + -5.1

Reorder the terms:
16.11 + -0.7q = 10 + -5.1 + -1.5q

Combine like terms: 10 + -5.1 = 4.9
16.11 + -0.7q = 4.9 + -1.5q

Solving
16.11 + -0.7q = 4.9 + -1.5q

Solving for variable 'q'.

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

Add '1.5q' to each side of the equation.
16.11 + -0.7q + 1.5q = 4.9 + -1.5q + 1.5q

Combine like terms: -0.7q + 1.5q = 0.8q
16.11 + 0.8q = 4.9 + -1.5q + 1.5q

Combine like terms: -1.5q + 1.5q = 0.0
16.11 + 0.8q = 4.9 + 0.0
16.11 + 0.8q = 4.9

Add '-16.11' to each side of the equation.
16.11 + -16.11 + 0.8q = 4.9 + -16.11

Combine like terms: 16.11 + -16.11 = 0.00
0.00 + 0.8q = 4.9 + -16.11
0.8q = 4.9 + -16.11

Combine like terms: 4.9 + -16.11 = -11.21
0.8q = -11.21

Divide each side by '0.8'.
q = -14.0125

Simplifying
q = -14.0125

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