8(6-2a)=5(-3a+1)

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Solution for 8(6-2a)=5(-3a+1) equation:


Simplifying
8(6 + -2a) = 5(-3a + 1)
(6 * 8 + -2a * 8) = 5(-3a + 1)
(48 + -16a) = 5(-3a + 1)

Reorder the terms:
48 + -16a = 5(1 + -3a)
48 + -16a = (1 * 5 + -3a * 5)
48 + -16a = (5 + -15a)

Solving
48 + -16a = 5 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
48 + -16a + 15a = 5 + -15a + 15a

Combine like terms: -16a + 15a = -1a
48 + -1a = 5 + -15a + 15a

Combine like terms: -15a + 15a = 0
48 + -1a = 5 + 0
48 + -1a = 5

Add '-48' to each side of the equation.
48 + -48 + -1a = 5 + -48

Combine like terms: 48 + -48 = 0
0 + -1a = 5 + -48
-1a = 5 + -48

Combine like terms: 5 + -48 = -43
-1a = -43

Divide each side by '-1'.
a = 43

Simplifying
a = 43

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