5(a+4)-(4a+4)=4(5a-2)+5

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Solution for 5(a+4)-(4a+4)=4(5a-2)+5 equation:


Simplifying
5(a + 4) + -1(4a + 4) = 4(5a + -2) + 5

Reorder the terms:
5(4 + a) + -1(4a + 4) = 4(5a + -2) + 5
(4 * 5 + a * 5) + -1(4a + 4) = 4(5a + -2) + 5
(20 + 5a) + -1(4a + 4) = 4(5a + -2) + 5

Reorder the terms:
20 + 5a + -1(4 + 4a) = 4(5a + -2) + 5
20 + 5a + (4 * -1 + 4a * -1) = 4(5a + -2) + 5
20 + 5a + (-4 + -4a) = 4(5a + -2) + 5

Reorder the terms:
20 + -4 + 5a + -4a = 4(5a + -2) + 5

Combine like terms: 20 + -4 = 16
16 + 5a + -4a = 4(5a + -2) + 5

Combine like terms: 5a + -4a = 1a
16 + 1a = 4(5a + -2) + 5

Reorder the terms:
16 + 1a = 4(-2 + 5a) + 5
16 + 1a = (-2 * 4 + 5a * 4) + 5
16 + 1a = (-8 + 20a) + 5

Reorder the terms:
16 + 1a = -8 + 5 + 20a

Combine like terms: -8 + 5 = -3
16 + 1a = -3 + 20a

Solving
16 + 1a = -3 + 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.
16 + 1a + -20a = -3 + 20a + -20a

Combine like terms: 1a + -20a = -19a
16 + -19a = -3 + 20a + -20a

Combine like terms: 20a + -20a = 0
16 + -19a = -3 + 0
16 + -19a = -3

Add '-16' to each side of the equation.
16 + -16 + -19a = -3 + -16

Combine like terms: 16 + -16 = 0
0 + -19a = -3 + -16
-19a = -3 + -16

Combine like terms: -3 + -16 = -19
-19a = -19

Divide each side by '-19'.
a = 1

Simplifying
a = 1

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