7(2a+1.7)=3(4a-6.3)

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Solution for 7(2a+1.7)=3(4a-6.3) equation: 


Simplifying
7(2a + 1.7) = 3(4a + -6.3)

Reorder the terms:
7(1.7 + 2a) = 3(4a + -6.3)
(1.7 * 7 + 2a * 7) = 3(4a + -6.3)
(11.9 + 14a) = 3(4a + -6.3)

Reorder the terms:
11.9 + 14a = 3(-6.3 + 4a)
11.9 + 14a = (-6.3 * 3 + 4a * 3)
11.9 + 14a = (-18.9 + 12a)

Solving
11.9 + 14a = -18.9 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
11.9 + 14a + -12a = -18.9 + 12a + -12a

Combine like terms: 14a + -12a = 2a
11.9 + 2a = -18.9 + 12a + -12a

Combine like terms: 12a + -12a = 0
11.9 + 2a = -18.9 + 0
11.9 + 2a = -18.9

Add '-11.9' to each side of the equation.
11.9 + -11.9 + 2a = -18.9 + -11.9

Combine like terms: 11.9 + -11.9 = 0.0
0.0 + 2a = -18.9 + -11.9
2a = -18.9 + -11.9

Combine like terms: -18.9 + -11.9 = -30.8
2a = -30.8

Divide each side by '2'.
a = -15.4

Simplifying
a = -15.4

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