4a+3=7a-16

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Solution for 4a+3=7a-16 equation:


Simplifying
4a + 3 = 7a + -16

Reorder the terms:
3 + 4a = 7a + -16

Reorder the terms:
3 + 4a = -16 + 7a

Solving
3 + 4a = -16 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
3 + 4a + -7a = -16 + 7a + -7a

Combine like terms: 4a + -7a = -3a
3 + -3a = -16 + 7a + -7a

Combine like terms: 7a + -7a = 0
3 + -3a = -16 + 0
3 + -3a = -16

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

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

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

Divide each side by '-3'.
a = 6.333333333

Simplifying
a = 6.333333333

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