4(a+2)+3(a+3)=10

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Solution for 4(a+2)+3(a+3)=10 equation: 


Simplifying
4(a + 2) + 3(a + 3) = 10

Reorder the terms:
4(2 + a) + 3(a + 3) = 10
(2 * 4 + a * 4) + 3(a + 3) = 10
(8 + 4a) + 3(a + 3) = 10

Reorder the terms:
8 + 4a + 3(3 + a) = 10
8 + 4a + (3 * 3 + a * 3) = 10
8 + 4a + (9 + 3a) = 10

Reorder the terms:
8 + 9 + 4a + 3a = 10

Combine like terms: 8 + 9 = 17
17 + 4a + 3a = 10

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

Solving
17 + 7a = 10

Solving for variable 'a'.

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

Add '-17' to each side of the equation.
17 + -17 + 7a = 10 + -17

Combine like terms: 17 + -17 = 0
0 + 7a = 10 + -17
7a = 10 + -17

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

Divide each side by '7'.
a = -1

Simplifying
a = -1

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