4a+7a+19=3*12-4+(5*16)-5

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Solution for 4a+7a+19=3*12-4+(5*16)-5 equation: 


Simplifying
4a + 7a + 19 = 3 * 12 + -4 + (5 * 16) + -5

Reorder the terms:
19 + 4a + 7a = 3 * 12 + -4 + (5 * 16) + -5

Combine like terms: 4a + 7a = 11a
19 + 11a = 3 * 12 + -4 + (5 * 16) + -5

Multiply 3 * 12
19 + 11a = 36 + -4 + (5 * 16) + -5

Multiply 5 * 16
19 + 11a = 36 + -4 + (80) + -5
19 + 11a = 36 + -4 + 80 + -5

Combine like terms: 36 + -4 = 32
19 + 11a = 32 + 80 + -5

Combine like terms: 32 + 80 = 112
19 + 11a = 112 + -5

Combine like terms: 112 + -5 = 107
19 + 11a = 107

Solving
19 + 11a = 107

Solving for variable 'a'.

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

Add '-19' to each side of the equation.
19 + -19 + 11a = 107 + -19

Combine like terms: 19 + -19 = 0
0 + 11a = 107 + -19
11a = 107 + -19

Combine like terms: 107 + -19 = 88
11a = 88

Divide each side by '11'.
a = 8

Simplifying
a = 8

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