7a+-14a-(-10a)-(-19)=-5

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Solution for 7a+-14a-(-10a)-(-19)=-5 equation:


Simplifying
7a + -14a + -1(-10a) + -1(-19) = -5

Remove parenthesis around (-10a)
7a + -14a + -1 * -10a + -1(-19) = -5

Multiply -1 * -10
7a + -14a + 10a + -1(-19) = -5

Multiply -1 * -19
7a + -14a + 10a + 19 = -5

Reorder the terms:
19 + 7a + -14a + 10a = -5

Combine like terms: 7a + -14a = -7a
19 + -7a + 10a = -5

Combine like terms: -7a + 10a = 3a
19 + 3a = -5

Solving
19 + 3a = -5

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 + 3a = -5 + -19

Combine like terms: 19 + -19 = 0
0 + 3a = -5 + -19
3a = -5 + -19

Combine like terms: -5 + -19 = -24
3a = -24

Divide each side by '3'.
a = -8

Simplifying
a = -8

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