0.25(a-4)=a-7

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Solution for 0.25(a-4)=a-7 equation: 


Simplifying
0.25(a + -4) = a + -7

Reorder the terms:
0.25(-4 + a) = a + -7
(-4 * 0.25 + a * 0.25) = a + -7
(-1 + 0.25a) = a + -7

Reorder the terms:
-1 + 0.25a = -7 + a

Solving
-1 + 0.25a = -7 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-1 + 0.25a + -1a = -7 + a + -1a

Combine like terms: 0.25a + -1a = -0.75a
-1 + -0.75a = -7 + a + -1a

Combine like terms: a + -1a = 0
-1 + -0.75a = -7 + 0
-1 + -0.75a = -7

Add '1' to each side of the equation.
-1 + 1 + -0.75a = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -0.75a = -7 + 1
-0.75a = -7 + 1

Combine like terms: -7 + 1 = -6
-0.75a = -6

Divide each side by '-0.75'.
a = 8

Simplifying
a = 8

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