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

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


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

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

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

Solving
16 + 4a = -15 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
16 + 4a + -5a = -15 + 5a + -5a

Combine like terms: 4a + -5a = -1a
16 + -1a = -15 + 5a + -5a

Combine like terms: 5a + -5a = 0
16 + -1a = -15 + 0
16 + -1a = -15

Add '-16' to each side of the equation.
16 + -16 + -1a = -15 + -16

Combine like terms: 16 + -16 = 0
0 + -1a = -15 + -16
-1a = -15 + -16

Combine like terms: -15 + -16 = -31
-1a = -31

Divide each side by '-1'.
a = 31

Simplifying
a = 31

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