16-2(a+2)=-6(3a-4)

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Solution for 16-2(a+2)=-6(3a-4) equation:


Simplifying
16 + -2(a + 2) = -6(3a + -4)

Reorder the terms:
16 + -2(2 + a) = -6(3a + -4)
16 + (2 * -2 + a * -2) = -6(3a + -4)
16 + (-4 + -2a) = -6(3a + -4)

Combine like terms: 16 + -4 = 12
12 + -2a = -6(3a + -4)

Reorder the terms:
12 + -2a = -6(-4 + 3a)
12 + -2a = (-4 * -6 + 3a * -6)
12 + -2a = (24 + -18a)

Solving
12 + -2a = 24 + -18a

Solving for variable 'a'.

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

Add '18a' to each side of the equation.
12 + -2a + 18a = 24 + -18a + 18a

Combine like terms: -2a + 18a = 16a
12 + 16a = 24 + -18a + 18a

Combine like terms: -18a + 18a = 0
12 + 16a = 24 + 0
12 + 16a = 24

Add '-12' to each side of the equation.
12 + -12 + 16a = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 16a = 24 + -12
16a = 24 + -12

Combine like terms: 24 + -12 = 12
16a = 12

Divide each side by '16'.
a = 0.75

Simplifying
a = 0.75

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