ta+6(a+3b-4)-10(4a-2b)+21=

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Solution for ta+6(a+3b-4)-10(4a-2b)+21= equation: 


Simplifying
ta + 6(a + 3b + -4) + -10(4a + -2b) + 21 = 0

Reorder the terms:
at + 6(-4 + a + 3b) + -10(4a + -2b) + 21 = 0
at + (-4 * 6 + a * 6 + 3b * 6) + -10(4a + -2b) + 21 = 0
at + (-24 + 6a + 18b) + -10(4a + -2b) + 21 = 0
at + -24 + 6a + 18b + (4a * -10 + -2b * -10) + 21 = 0
at + -24 + 6a + 18b + (-40a + 20b) + 21 = 0

Reorder the terms:
-24 + 21 + 6a + -40a + at + 18b + 20b = 0

Combine like terms: -24 + 21 = -3
-3 + 6a + -40a + at + 18b + 20b = 0

Combine like terms: 6a + -40a = -34a
-3 + -34a + at + 18b + 20b = 0

Combine like terms: 18b + 20b = 38b
-3 + -34a + at + 38b = 0

Solving
-3 + -34a + at + 38b = 0

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + -34a + at + 3 + 38b = 0 + 3

Reorder the terms:
-3 + 3 + -34a + at + 38b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -34a + at + 38b = 0 + 3
-34a + at + 38b = 0 + 3

Combine like terms: 0 + 3 = 3
-34a + at + 38b = 3

Add '-38b' to each side of the equation.
-34a + at + 38b + -38b = 3 + -38b

Combine like terms: 38b + -38b = 0
-34a + at + 0 = 3 + -38b
-34a + at = 3 + -38b

Reorder the terms:
-3 + -34a + at + 38b = 3 + -38b + -3 + 38b

Reorder the terms:
-3 + -34a + at + 38b = 3 + -3 + -38b + 38b

Combine like terms: 3 + -3 = 0
-3 + -34a + at + 38b = 0 + -38b + 38b
-3 + -34a + at + 38b = -38b + 38b

Combine like terms: -38b + 38b = 0
-3 + -34a + at + 38b = 0

The solution to this equation could not be determined.

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