2(5+7a)=.75(3a-10)

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Solution for 2(5+7a)=.75(3a-10) equation: 


Simplifying
2(5 + 7a) = 0.75(3a + -10)
(5 * 2 + 7a * 2) = 0.75(3a + -10)
(10 + 14a) = 0.75(3a + -10)

Reorder the terms:
10 + 14a = 0.75(-10 + 3a)
10 + 14a = (-10 * 0.75 + 3a * 0.75)
10 + 14a = (-7.5 + 2.25a)

Solving
10 + 14a = -7.5 + 2.25a

Solving for variable 'a'.

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

Add '-2.25a' to each side of the equation.
10 + 14a + -2.25a = -7.5 + 2.25a + -2.25a

Combine like terms: 14a + -2.25a = 11.75a
10 + 11.75a = -7.5 + 2.25a + -2.25a

Combine like terms: 2.25a + -2.25a = 0.00
10 + 11.75a = -7.5 + 0.00
10 + 11.75a = -7.5

Add '-10' to each side of the equation.
10 + -10 + 11.75a = -7.5 + -10

Combine like terms: 10 + -10 = 0
0 + 11.75a = -7.5 + -10
11.75a = -7.5 + -10

Combine like terms: -7.5 + -10 = -17.5
11.75a = -17.5

Divide each side by '11.75'.
a = -1.489361702

Simplifying
a = -1.489361702

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