6(2a-3)-2(a-9)+6a=7

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Solution for 6(2a-3)-2(a-9)+6a=7 equation:


Simplifying
6(2a + -3) + -2(a + -9) + 6a = 7

Reorder the terms:
6(-3 + 2a) + -2(a + -9) + 6a = 7
(-3 * 6 + 2a * 6) + -2(a + -9) + 6a = 7
(-18 + 12a) + -2(a + -9) + 6a = 7

Reorder the terms:
-18 + 12a + -2(-9 + a) + 6a = 7
-18 + 12a + (-9 * -2 + a * -2) + 6a = 7
-18 + 12a + (18 + -2a) + 6a = 7

Reorder the terms:
-18 + 18 + 12a + -2a + 6a = 7

Combine like terms: -18 + 18 = 0
0 + 12a + -2a + 6a = 7
12a + -2a + 6a = 7

Combine like terms: 12a + -2a = 10a
10a + 6a = 7

Combine like terms: 10a + 6a = 16a
16a = 7

Solving
16a = 7

Solving for variable 'a'.

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

Divide each side by '16'.
a = 0.4375

Simplifying
a = 0.4375

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