6a-10=16(12+8a)+10

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Solution for 6a-10=16(12+8a)+10 equation:


Simplifying
6a + -10 = 16(12 + 8a) + 10

Reorder the terms:
-10 + 6a = 16(12 + 8a) + 10
-10 + 6a = (12 * 16 + 8a * 16) + 10
-10 + 6a = (192 + 128a) + 10

Reorder the terms:
-10 + 6a = 192 + 10 + 128a

Combine like terms: 192 + 10 = 202
-10 + 6a = 202 + 128a

Solving
-10 + 6a = 202 + 128a

Solving for variable 'a'.

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

Add '-128a' to each side of the equation.
-10 + 6a + -128a = 202 + 128a + -128a

Combine like terms: 6a + -128a = -122a
-10 + -122a = 202 + 128a + -128a

Combine like terms: 128a + -128a = 0
-10 + -122a = 202 + 0
-10 + -122a = 202

Add '10' to each side of the equation.
-10 + 10 + -122a = 202 + 10

Combine like terms: -10 + 10 = 0
0 + -122a = 202 + 10
-122a = 202 + 10

Combine like terms: 202 + 10 = 212
-122a = 212

Divide each side by '-122'.
a = -1.737704918

Simplifying
a = -1.737704918

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