7(a+6)=4a+5(a+8)

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Solution for 7(a+6)=4a+5(a+8) equation:


Simplifying
7(a + 6) = 4a + 5(a + 8)

Reorder the terms:
7(6 + a) = 4a + 5(a + 8)
(6 * 7 + a * 7) = 4a + 5(a + 8)
(42 + 7a) = 4a + 5(a + 8)

Reorder the terms:
42 + 7a = 4a + 5(8 + a)
42 + 7a = 4a + (8 * 5 + a * 5)
42 + 7a = 4a + (40 + 5a)

Reorder the terms:
42 + 7a = 40 + 4a + 5a

Combine like terms: 4a + 5a = 9a
42 + 7a = 40 + 9a

Solving
42 + 7a = 40 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
42 + 7a + -9a = 40 + 9a + -9a

Combine like terms: 7a + -9a = -2a
42 + -2a = 40 + 9a + -9a

Combine like terms: 9a + -9a = 0
42 + -2a = 40 + 0
42 + -2a = 40

Add '-42' to each side of the equation.
42 + -42 + -2a = 40 + -42

Combine like terms: 42 + -42 = 0
0 + -2a = 40 + -42
-2a = 40 + -42

Combine like terms: 40 + -42 = -2
-2a = -2

Divide each side by '-2'.
a = 1

Simplifying
a = 1

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