2=4(2a-3)-(7a+4)

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Solution for 2=4(2a-3)-(7a+4) equation:


Simplifying
2 = 4(2a + -3) + -1(7a + 4)

Reorder the terms:
2 = 4(-3 + 2a) + -1(7a + 4)
2 = (-3 * 4 + 2a * 4) + -1(7a + 4)
2 = (-12 + 8a) + -1(7a + 4)

Reorder the terms:
2 = -12 + 8a + -1(4 + 7a)
2 = -12 + 8a + (4 * -1 + 7a * -1)
2 = -12 + 8a + (-4 + -7a)

Reorder the terms:
2 = -12 + -4 + 8a + -7a

Combine like terms: -12 + -4 = -16
2 = -16 + 8a + -7a

Combine like terms: 8a + -7a = 1a
2 = -16 + 1a

Solving
2 = -16 + 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
2 + -1a = -16 + 1a + -1a

Combine like terms: 1a + -1a = 0
2 + -1a = -16 + 0
2 + -1a = -16

Add '-2' to each side of the equation.
2 + -2 + -1a = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = -16 + -2
-1a = -16 + -2

Combine like terms: -16 + -2 = -18
-1a = -18

Divide each side by '-1'.
a = 18

Simplifying
a = 18

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