-6a-15=-3[a-7]

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Solution for -6a-15=-3[a-7] equation:


Simplifying
-6a + -15 = -3[a + -7]

Reorder the terms:
-15 + -6a = -3[a + -7]

Reorder the terms:
-15 + -6a = -3[-7 + a]
-15 + -6a = [-7 * -3 + a * -3]
-15 + -6a = [21 + -3a]

Solving
-15 + -6a = 21 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-15 + -6a + 3a = 21 + -3a + 3a

Combine like terms: -6a + 3a = -3a
-15 + -3a = 21 + -3a + 3a

Combine like terms: -3a + 3a = 0
-15 + -3a = 21 + 0
-15 + -3a = 21

Add '15' to each side of the equation.
-15 + 15 + -3a = 21 + 15

Combine like terms: -15 + 15 = 0
0 + -3a = 21 + 15
-3a = 21 + 15

Combine like terms: 21 + 15 = 36
-3a = 36

Divide each side by '-3'.
a = -12

Simplifying
a = -12

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