2a=14(5a-[8a+(7a-5)])+4

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Solution for 2a=14(5a-[8a+(7a-5)])+4 equation:


Simplifying
2a = 14(5a + -1[8a + (7a + -5)]) + 4

Reorder the terms:
2a = 14(5a + -1[8a + (-5 + 7a)]) + 4

Remove parenthesis around (-5 + 7a)
2a = 14(5a + -1[8a + -5 + 7a]) + 4

Reorder the terms:
2a = 14(5a + -1[-5 + 8a + 7a]) + 4

Combine like terms: 8a + 7a = 15a
2a = 14(5a + -1[-5 + 15a]) + 4
2a = 14(5a + [-5 * -1 + 15a * -1]) + 4
2a = 14(5a + [5 + -15a]) + 4

Reorder the terms:
2a = 14(5 + 5a + -15a) + 4

Combine like terms: 5a + -15a = -10a
2a = 14(5 + -10a) + 4
2a = (5 * 14 + -10a * 14) + 4
2a = (70 + -140a) + 4

Reorder the terms:
2a = 70 + 4 + -140a

Combine like terms: 70 + 4 = 74
2a = 74 + -140a

Solving
2a = 74 + -140a

Solving for variable 'a'.

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

Add '140a' to each side of the equation.
2a + 140a = 74 + -140a + 140a

Combine like terms: 2a + 140a = 142a
142a = 74 + -140a + 140a

Combine like terms: -140a + 140a = 0
142a = 74 + 0
142a = 74

Divide each side by '142'.
a = 0.5211267606

Simplifying
a = 0.5211267606

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