5+3(a+4)=7a-(9-10a)+4

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Solution for 5+3(a+4)=7a-(9-10a)+4 equation:


Simplifying
5 + 3(a + 4) = 7a + -1(9 + -10a) + 4

Reorder the terms:
5 + 3(4 + a) = 7a + -1(9 + -10a) + 4
5 + (4 * 3 + a * 3) = 7a + -1(9 + -10a) + 4
5 + (12 + 3a) = 7a + -1(9 + -10a) + 4

Combine like terms: 5 + 12 = 17
17 + 3a = 7a + -1(9 + -10a) + 4
17 + 3a = 7a + (9 * -1 + -10a * -1) + 4
17 + 3a = 7a + (-9 + 10a) + 4

Reorder the terms:
17 + 3a = -9 + 4 + 7a + 10a

Combine like terms: -9 + 4 = -5
17 + 3a = -5 + 7a + 10a

Combine like terms: 7a + 10a = 17a
17 + 3a = -5 + 17a

Solving
17 + 3a = -5 + 17a

Solving for variable 'a'.

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

Add '-17a' to each side of the equation.
17 + 3a + -17a = -5 + 17a + -17a

Combine like terms: 3a + -17a = -14a
17 + -14a = -5 + 17a + -17a

Combine like terms: 17a + -17a = 0
17 + -14a = -5 + 0
17 + -14a = -5

Add '-17' to each side of the equation.
17 + -17 + -14a = -5 + -17

Combine like terms: 17 + -17 = 0
0 + -14a = -5 + -17
-14a = -5 + -17

Combine like terms: -5 + -17 = -22
-14a = -22

Divide each side by '-14'.
a = 1.571428571

Simplifying
a = 1.571428571

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