2a=18(4a-[3a+(5a-7)])+6

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Solution for 2a=18(4a-[3a+(5a-7)])+6 equation: 


Simplifying
2a = 18(4a + -1[3a + (5a + -7)]) + 6

Reorder the terms:
2a = 18(4a + -1[3a + (-7 + 5a)]) + 6

Remove parenthesis around (-7 + 5a)
2a = 18(4a + -1[3a + -7 + 5a]) + 6

Reorder the terms:
2a = 18(4a + -1[-7 + 3a + 5a]) + 6

Combine like terms: 3a + 5a = 8a
2a = 18(4a + -1[-7 + 8a]) + 6
2a = 18(4a + [-7 * -1 + 8a * -1]) + 6
2a = 18(4a + [7 + -8a]) + 6

Reorder the terms:
2a = 18(7 + 4a + -8a) + 6

Combine like terms: 4a + -8a = -4a
2a = 18(7 + -4a) + 6
2a = (7 * 18 + -4a * 18) + 6
2a = (126 + -72a) + 6

Reorder the terms:
2a = 126 + 6 + -72a

Combine like terms: 126 + 6 = 132
2a = 132 + -72a

Solving
2a = 132 + -72a

Solving for variable 'a'.

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

Add '72a' to each side of the equation.
2a + 72a = 132 + -72a + 72a

Combine like terms: 2a + 72a = 74a
74a = 132 + -72a + 72a

Combine like terms: -72a + 72a = 0
74a = 132 + 0
74a = 132

Divide each side by '74'.
a = 1.783783784

Simplifying
a = 1.783783784

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