3c+5(.5a+6)=4(.5a+6)

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Solution for 3c+5(.5a+6)=4(.5a+6) equation:


Simplifying
3c + 5(0.5a + 6) = 4(0.5a + 6)

Reorder the terms:
3c + 5(6 + 0.5a) = 4(0.5a + 6)
3c + (6 * 5 + 0.5a * 5) = 4(0.5a + 6)
3c + (30 + 2.5a) = 4(0.5a + 6)

Reorder the terms:
30 + 2.5a + 3c = 4(0.5a + 6)

Reorder the terms:
30 + 2.5a + 3c = 4(6 + 0.5a)
30 + 2.5a + 3c = (6 * 4 + 0.5a * 4)
30 + 2.5a + 3c = (24 + 2a)

Solving
30 + 2.5a + 3c = 24 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
30 + 2.5a + -2a + 3c = 24 + 2a + -2a

Combine like terms: 2.5a + -2a = 0.5a
30 + 0.5a + 3c = 24 + 2a + -2a

Combine like terms: 2a + -2a = 0
30 + 0.5a + 3c = 24 + 0
30 + 0.5a + 3c = 24

Add '-30' to each side of the equation.
30 + 0.5a + -30 + 3c = 24 + -30

Reorder the terms:
30 + -30 + 0.5a + 3c = 24 + -30

Combine like terms: 30 + -30 = 0
0 + 0.5a + 3c = 24 + -30
0.5a + 3c = 24 + -30

Combine like terms: 24 + -30 = -6
0.5a + 3c = -6

Add '-3c' to each side of the equation.
0.5a + 3c + -3c = -6 + -3c

Combine like terms: 3c + -3c = 0
0.5a + 0 = -6 + -3c
0.5a = -6 + -3c

Divide each side by '0.5'.
a = -12 + -6c

Simplifying
a = -12 + -6c

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