4za+19=2a-15

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Solution for 4za+19=2a-15 equation:


Simplifying
4za + 19 = 2a + -15

Reorder the terms:
19 + 4az = 2a + -15

Reorder the terms:
19 + 4az = -15 + 2a

Solving
19 + 4az = -15 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
19 + -2a + 4az = -15 + 2a + -2a

Combine like terms: 2a + -2a = 0
19 + -2a + 4az = -15 + 0
19 + -2a + 4az = -15

Add '-19' to each side of the equation.
19 + -2a + -19 + 4az = -15 + -19

Reorder the terms:
19 + -19 + -2a + 4az = -15 + -19

Combine like terms: 19 + -19 = 0
0 + -2a + 4az = -15 + -19
-2a + 4az = -15 + -19

Combine like terms: -15 + -19 = -34
-2a + 4az = -34

Reorder the terms:
34 + -2a + 4az = -34 + 34

Combine like terms: -34 + 34 = 0
34 + -2a + 4az = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(17 + -1a + 2az) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(17 + -1a + 2az)' equal to zero and attempt to solve: Simplifying 17 + -1a + 2az = 0 Solving 17 + -1a + 2az = 0 Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -1a + -17 + 2az = 0 + -17 Reorder the terms: 17 + -17 + -1a + 2az = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1a + 2az = 0 + -17 -1a + 2az = 0 + -17 Combine like terms: 0 + -17 = -17 -1a + 2az = -17 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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