a=16(5a-[2a+(4a-7)])+2

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Solution for a=16(5a-[2a+(4a-7)])+2 equation:


Simplifying
a = 16(5a + -1[2a + (4a + -7)]) + 2

Reorder the terms:
a = 16(5a + -1[2a + (-7 + 4a)]) + 2

Remove parenthesis around (-7 + 4a)
a = 16(5a + -1[2a + -7 + 4a]) + 2

Reorder the terms:
a = 16(5a + -1[-7 + 2a + 4a]) + 2

Combine like terms: 2a + 4a = 6a
a = 16(5a + -1[-7 + 6a]) + 2
a = 16(5a + [-7 * -1 + 6a * -1]) + 2
a = 16(5a + [7 + -6a]) + 2

Reorder the terms:
a = 16(7 + 5a + -6a) + 2

Combine like terms: 5a + -6a = -1a
a = 16(7 + -1a) + 2
a = (7 * 16 + -1a * 16) + 2
a = (112 + -16a) + 2

Reorder the terms:
a = 112 + 2 + -16a

Combine like terms: 112 + 2 = 114
a = 114 + -16a

Solving
a = 114 + -16a

Solving for variable 'a'.

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

Add '16a' to each side of the equation.
a + 16a = 114 + -16a + 16a

Combine like terms: a + 16a = 17a
17a = 114 + -16a + 16a

Combine like terms: -16a + 16a = 0
17a = 114 + 0
17a = 114

Divide each side by '17'.
a = 6.705882353

Simplifying
a = 6.705882353

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