1.6(a-1.5)=1.2(a-7)

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Solution for 1.6(a-1.5)=1.2(a-7) equation: 


Simplifying
1.6(a + -1.5) = 1.2(a + -7)

Reorder the terms:
1.6(-1.5 + a) = 1.2(a + -7)
(-1.5 * 1.6 + a * 1.6) = 1.2(a + -7)
(-2.4 + 1.6a) = 1.2(a + -7)

Reorder the terms:
-2.4 + 1.6a = 1.2(-7 + a)
-2.4 + 1.6a = (-7 * 1.2 + a * 1.2)
-2.4 + 1.6a = (-8.4 + 1.2a)

Solving
-2.4 + 1.6a = -8.4 + 1.2a

Solving for variable 'a'.

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

Add '-1.2a' to each side of the equation.
-2.4 + 1.6a + -1.2a = -8.4 + 1.2a + -1.2a

Combine like terms: 1.6a + -1.2a = 0.4a
-2.4 + 0.4a = -8.4 + 1.2a + -1.2a

Combine like terms: 1.2a + -1.2a = 0.0
-2.4 + 0.4a = -8.4 + 0.0
-2.4 + 0.4a = -8.4

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 0.4a = -8.4 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 0.4a = -8.4 + 2.4
0.4a = -8.4 + 2.4

Combine like terms: -8.4 + 2.4 = -6
0.4a = -6

Divide each side by '0.4'.
a = -15

Simplifying
a = -15

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