0.6(10a+3)=0.7(15a+3)

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Solution for 0.6(10a+3)=0.7(15a+3) equation: 


Simplifying
0.6(10a + 3) = 0.7(15a + 3)

Reorder the terms:
0.6(3 + 10a) = 0.7(15a + 3)
(3 * 0.6 + 10a * 0.6) = 0.7(15a + 3)
(1.8 + 6a) = 0.7(15a + 3)

Reorder the terms:
1.8 + 6a = 0.7(3 + 15a)
1.8 + 6a = (3 * 0.7 + 15a * 0.7)
1.8 + 6a = (2.1 + 10.5a)

Solving
1.8 + 6a = 2.1 + 10.5a

Solving for variable 'a'.

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

Add '-10.5a' to each side of the equation.
1.8 + 6a + -10.5a = 2.1 + 10.5a + -10.5a

Combine like terms: 6a + -10.5a = -4.5a
1.8 + -4.5a = 2.1 + 10.5a + -10.5a

Combine like terms: 10.5a + -10.5a = 0.0
1.8 + -4.5a = 2.1 + 0.0
1.8 + -4.5a = 2.1

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -4.5a = 2.1 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -4.5a = 2.1 + -1.8
-4.5a = 2.1 + -1.8

Combine like terms: 2.1 + -1.8 = 0.3
-4.5a = 0.3

Divide each side by '-4.5'.
a = -0.06666666667

Simplifying
a = -0.06666666667

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