4(1a+4)=5(4a+3)

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Solution for 4(1a+4)=5(4a+3) equation:


Simplifying
4(1a + 4) = 5(4a + 3)

Reorder the terms:
4(4 + 1a) = 5(4a + 3)
(4 * 4 + 1a * 4) = 5(4a + 3)
(16 + 4a) = 5(4a + 3)

Reorder the terms:
16 + 4a = 5(3 + 4a)
16 + 4a = (3 * 5 + 4a * 5)
16 + 4a = (15 + 20a)

Solving
16 + 4a = 15 + 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 + 4a + -20a = 15 + 20a + -20a

Combine like terms: 4a + -20a = -16a
16 + -16a = 15 + 20a + -20a

Combine like terms: 20a + -20a = 0
16 + -16a = 15 + 0
16 + -16a = 15

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

Combine like terms: 16 + -16 = 0
0 + -16a = 15 + -16
-16a = 15 + -16

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

Divide each side by '-16'.
a = 0.0625

Simplifying
a = 0.0625

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