4(2a+2.5)-3(4a-1)=5(4a-7)

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Solution for 4(2a+2.5)-3(4a-1)=5(4a-7) equation:


Simplifying
4(2a + 2.5) + -3(4a + -1) = 5(4a + -7)

Reorder the terms:
4(2.5 + 2a) + -3(4a + -1) = 5(4a + -7)
(2.5 * 4 + 2a * 4) + -3(4a + -1) = 5(4a + -7)
(10 + 8a) + -3(4a + -1) = 5(4a + -7)

Reorder the terms:
10 + 8a + -3(-1 + 4a) = 5(4a + -7)
10 + 8a + (-1 * -3 + 4a * -3) = 5(4a + -7)
10 + 8a + (3 + -12a) = 5(4a + -7)

Reorder the terms:
10 + 3 + 8a + -12a = 5(4a + -7)

Combine like terms: 10 + 3 = 13
13 + 8a + -12a = 5(4a + -7)

Combine like terms: 8a + -12a = -4a
13 + -4a = 5(4a + -7)

Reorder the terms:
13 + -4a = 5(-7 + 4a)
13 + -4a = (-7 * 5 + 4a * 5)
13 + -4a = (-35 + 20a)

Solving
13 + -4a = -35 + 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.
13 + -4a + -20a = -35 + 20a + -20a

Combine like terms: -4a + -20a = -24a
13 + -24a = -35 + 20a + -20a

Combine like terms: 20a + -20a = 0
13 + -24a = -35 + 0
13 + -24a = -35

Add '-13' to each side of the equation.
13 + -13 + -24a = -35 + -13

Combine like terms: 13 + -13 = 0
0 + -24a = -35 + -13
-24a = -35 + -13

Combine like terms: -35 + -13 = -48
-24a = -48

Divide each side by '-24'.
a = 2

Simplifying
a = 2

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