49=7+3(8+a)

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Solution for 49=7+3(8+a) equation:


Simplifying
49 = 7 + 3(8 + a)
49 = 7 + (8 * 3 + a * 3)
49 = 7 + (24 + 3a)

Combine like terms: 7 + 24 = 31
49 = 31 + 3a

Solving
49 = 31 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
49 + -3a = 31 + 3a + -3a

Combine like terms: 3a + -3a = 0
49 + -3a = 31 + 0
49 + -3a = 31

Add '-49' to each side of the equation.
49 + -49 + -3a = 31 + -49

Combine like terms: 49 + -49 = 0
0 + -3a = 31 + -49
-3a = 31 + -49

Combine like terms: 31 + -49 = -18
-3a = -18

Divide each side by '-3'.
a = 6

Simplifying
a = 6

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