.3a+.7=.5a-.1

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Solution for .3a+.7=.5a-.1 equation:


Simplifying
0.3a + 0.7 = 0.5a + -0.1

Reorder the terms:
0.7 + 0.3a = 0.5a + -0.1

Reorder the terms:
0.7 + 0.3a = -0.1 + 0.5a

Solving
0.7 + 0.3a = -0.1 + 0.5a

Solving for variable 'a'.

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

Add '-0.5a' to each side of the equation.
0.7 + 0.3a + -0.5a = -0.1 + 0.5a + -0.5a

Combine like terms: 0.3a + -0.5a = -0.2a
0.7 + -0.2a = -0.1 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
0.7 + -0.2a = -0.1 + 0.0
0.7 + -0.2a = -0.1

Add '-0.7' to each side of the equation.
0.7 + -0.7 + -0.2a = -0.1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -0.2a = -0.1 + -0.7
-0.2a = -0.1 + -0.7

Combine like terms: -0.1 + -0.7 = -0.8
-0.2a = -0.8

Divide each side by '-0.2'.
a = 4

Simplifying
a = 4

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