-6(1+3a)+7=7a-3(9a+9)

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Solution for -6(1+3a)+7=7a-3(9a+9) equation:


Simplifying
-6(1 + 3a) + 7 = 7a + -3(9a + 9)
(1 * -6 + 3a * -6) + 7 = 7a + -3(9a + 9)
(-6 + -18a) + 7 = 7a + -3(9a + 9)

Reorder the terms:
-6 + 7 + -18a = 7a + -3(9a + 9)

Combine like terms: -6 + 7 = 1
1 + -18a = 7a + -3(9a + 9)

Reorder the terms:
1 + -18a = 7a + -3(9 + 9a)
1 + -18a = 7a + (9 * -3 + 9a * -3)
1 + -18a = 7a + (-27 + -27a)

Reorder the terms:
1 + -18a = -27 + 7a + -27a

Combine like terms: 7a + -27a = -20a
1 + -18a = -27 + -20a

Solving
1 + -18a = -27 + -20a

Solving for variable 'a'.

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

Add '20a' to each side of the equation.
1 + -18a + 20a = -27 + -20a + 20a

Combine like terms: -18a + 20a = 2a
1 + 2a = -27 + -20a + 20a

Combine like terms: -20a + 20a = 0
1 + 2a = -27 + 0
1 + 2a = -27

Add '-1' to each side of the equation.
1 + -1 + 2a = -27 + -1

Combine like terms: 1 + -1 = 0
0 + 2a = -27 + -1
2a = -27 + -1

Combine like terms: -27 + -1 = -28
2a = -28

Divide each side by '2'.
a = -14

Simplifying
a = -14

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