19a-(-6a)-(-5a)-15a+2=-13

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Solution for 19a-(-6a)-(-5a)-15a+2=-13 equation:


Simplifying
19a + -1(-6a) + -1(-5a) + -15a + 2 = -13

Remove parenthesis around (-6a)
19a + -1 * -6a + -1(-5a) + -15a + 2 = -13

Multiply -1 * -6
19a + 6a + -1(-5a) + -15a + 2 = -13

Remove parenthesis around (-5a)
19a + 6a + -1 * -5a + -15a + 2 = -13

Multiply -1 * -5
19a + 6a + 5a + -15a + 2 = -13

Reorder the terms:
2 + 19a + 6a + 5a + -15a = -13

Combine like terms: 19a + 6a = 25a
2 + 25a + 5a + -15a = -13

Combine like terms: 25a + 5a = 30a
2 + 30a + -15a = -13

Combine like terms: 30a + -15a = 15a
2 + 15a = -13

Solving
2 + 15a = -13

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + 15a = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 15a = -13 + -2
15a = -13 + -2

Combine like terms: -13 + -2 = -15
15a = -15

Divide each side by '15'.
a = -1

Simplifying
a = -1

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