49=-3(1-2a)+7(2a-4)

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Solution for 49=-3(1-2a)+7(2a-4) equation:


Simplifying
49 = -3(1 + -2a) + 7(2a + -4)
49 = (1 * -3 + -2a * -3) + 7(2a + -4)
49 = (-3 + 6a) + 7(2a + -4)

Reorder the terms:
49 = -3 + 6a + 7(-4 + 2a)
49 = -3 + 6a + (-4 * 7 + 2a * 7)
49 = -3 + 6a + (-28 + 14a)

Reorder the terms:
49 = -3 + -28 + 6a + 14a

Combine like terms: -3 + -28 = -31
49 = -31 + 6a + 14a

Combine like terms: 6a + 14a = 20a
49 = -31 + 20a

Solving
49 = -31 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
49 + -20a = -31 + 20a + -20a

Combine like terms: 20a + -20a = 0
49 + -20a = -31 + 0
49 + -20a = -31

Add '-49' to each side of the equation.
49 + -49 + -20a = -31 + -49

Combine like terms: 49 + -49 = 0
0 + -20a = -31 + -49
-20a = -31 + -49

Combine like terms: -31 + -49 = -80
-20a = -80

Divide each side by '-20'.
a = 4

Simplifying
a = 4

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