2.2(14a+62)=-4.4(3a+11)

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Solution for 2.2(14a+62)=-4.4(3a+11) equation: 


Simplifying
2.2(14a + 62) = -4.4(3a + 11)

Reorder the terms:
2.2(62 + 14a) = -4.4(3a + 11)
(62 * 2.2 + 14a * 2.2) = -4.4(3a + 11)
(136.4 + 30.8a) = -4.4(3a + 11)

Reorder the terms:
136.4 + 30.8a = -4.4(11 + 3a)
136.4 + 30.8a = (11 * -4.4 + 3a * -4.4)
136.4 + 30.8a = (-48.4 + -13.2a)

Solving
136.4 + 30.8a = -48.4 + -13.2a

Solving for variable 'a'.

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

Add '13.2a' to each side of the equation.
136.4 + 30.8a + 13.2a = -48.4 + -13.2a + 13.2a

Combine like terms: 30.8a + 13.2a = 44a
136.4 + 44a = -48.4 + -13.2a + 13.2a

Combine like terms: -13.2a + 13.2a = 0.0
136.4 + 44a = -48.4 + 0.0
136.4 + 44a = -48.4

Add '-136.4' to each side of the equation.
136.4 + -136.4 + 44a = -48.4 + -136.4

Combine like terms: 136.4 + -136.4 = 0.0
0.0 + 44a = -48.4 + -136.4
44a = -48.4 + -136.4

Combine like terms: -48.4 + -136.4 = -184.8
44a = -184.8

Divide each side by '44'.
a = -4.2

Simplifying
a = -4.2

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