6.1(a-3.7)-(8.5a-5)=7+3.2a

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Solution for 6.1(a-3.7)-(8.5a-5)=7+3.2a equation:


Simplifying
6.1(a + -3.7) + -1(8.5a + -5) = 7 + 3.2a

Reorder the terms:
6.1(-3.7 + a) + -1(8.5a + -5) = 7 + 3.2a
(-3.7 * 6.1 + a * 6.1) + -1(8.5a + -5) = 7 + 3.2a
(-22.57 + 6.1a) + -1(8.5a + -5) = 7 + 3.2a

Reorder the terms:
-22.57 + 6.1a + -1(-5 + 8.5a) = 7 + 3.2a
-22.57 + 6.1a + (-5 * -1 + 8.5a * -1) = 7 + 3.2a
-22.57 + 6.1a + (5 + -8.5a) = 7 + 3.2a

Reorder the terms:
-22.57 + 5 + 6.1a + -8.5a = 7 + 3.2a

Combine like terms: -22.57 + 5 = -17.57
-17.57 + 6.1a + -8.5a = 7 + 3.2a

Combine like terms: 6.1a + -8.5a = -2.4a
-17.57 + -2.4a = 7 + 3.2a

Solving
-17.57 + -2.4a = 7 + 3.2a

Solving for variable 'a'.

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

Add '-3.2a' to each side of the equation.
-17.57 + -2.4a + -3.2a = 7 + 3.2a + -3.2a

Combine like terms: -2.4a + -3.2a = -5.6a
-17.57 + -5.6a = 7 + 3.2a + -3.2a

Combine like terms: 3.2a + -3.2a = 0.0
-17.57 + -5.6a = 7 + 0.0
-17.57 + -5.6a = 7

Add '17.57' to each side of the equation.
-17.57 + 17.57 + -5.6a = 7 + 17.57

Combine like terms: -17.57 + 17.57 = 0.00
0.00 + -5.6a = 7 + 17.57
-5.6a = 7 + 17.57

Combine like terms: 7 + 17.57 = 24.57
-5.6a = 24.57

Divide each side by '-5.6'.
a = -4.3875

Simplifying
a = -4.3875

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