-1.9(a+13)=0.5(a+7)

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Solution for -1.9(a+13)=0.5(a+7) equation:


Simplifying
-1.9(a + 13) = 0.5(a + 7)

Reorder the terms:
-1.9(13 + a) = 0.5(a + 7)
(13 * -1.9 + a * -1.9) = 0.5(a + 7)
(-24.7 + -1.9a) = 0.5(a + 7)

Reorder the terms:
-24.7 + -1.9a = 0.5(7 + a)
-24.7 + -1.9a = (7 * 0.5 + a * 0.5)
-24.7 + -1.9a = (3.5 + 0.5a)

Solving
-24.7 + -1.9a = 3.5 + 0.5a

Solving for variable 'a'.

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

Add '-0.5a' to each side of the equation.
-24.7 + -1.9a + -0.5a = 3.5 + 0.5a + -0.5a

Combine like terms: -1.9a + -0.5a = -2.4a
-24.7 + -2.4a = 3.5 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
-24.7 + -2.4a = 3.5 + 0.0
-24.7 + -2.4a = 3.5

Add '24.7' to each side of the equation.
-24.7 + 24.7 + -2.4a = 3.5 + 24.7

Combine like terms: -24.7 + 24.7 = 0.0
0.0 + -2.4a = 3.5 + 24.7
-2.4a = 3.5 + 24.7

Combine like terms: 3.5 + 24.7 = 28.2
-2.4a = 28.2

Divide each side by '-2.4'.
a = -11.75

Simplifying
a = -11.75

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