.15(70)+a=0.2(70+a)

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Solution for .15(70)+a=0.2(70+a) equation: 


Simplifying
0.15(70) + a = 0.2(70 + a)

Multiply 0.15 * 70
10.5 + a = 0.2(70 + a)
10.5 + a = (70 * 0.2 + a * 0.2)
10.5 + a = (14 + 0.2a)

Solving
10.5 + a = 14 + 0.2a

Solving for variable 'a'.

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

Add '-0.2a' to each side of the equation.
10.5 + a + -0.2a = 14 + 0.2a + -0.2a

Combine like terms: a + -0.2a = 0.8a
10.5 + 0.8a = 14 + 0.2a + -0.2a

Combine like terms: 0.2a + -0.2a = 0.0
10.5 + 0.8a = 14 + 0.0
10.5 + 0.8a = 14

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 0.8a = 14 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 0.8a = 14 + -10.5
0.8a = 14 + -10.5

Combine like terms: 14 + -10.5 = 3.5
0.8a = 3.5

Divide each side by '0.8'.
a = 4.375

Simplifying
a = 4.375

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