7(a+4)=6(a-3)

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Solution for 7(a+4)=6(a-3) equation:


Simplifying
7(a + 4) = 6(a + -3)

Reorder the terms:
7(4 + a) = 6(a + -3)
(4 * 7 + a * 7) = 6(a + -3)
(28 + 7a) = 6(a + -3)

Reorder the terms:
28 + 7a = 6(-3 + a)
28 + 7a = (-3 * 6 + a * 6)
28 + 7a = (-18 + 6a)

Solving
28 + 7a = -18 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
28 + 7a + -6a = -18 + 6a + -6a

Combine like terms: 7a + -6a = 1a
28 + 1a = -18 + 6a + -6a

Combine like terms: 6a + -6a = 0
28 + 1a = -18 + 0
28 + 1a = -18

Add '-28' to each side of the equation.
28 + -28 + 1a = -18 + -28

Combine like terms: 28 + -28 = 0
0 + 1a = -18 + -28
1a = -18 + -28

Combine like terms: -18 + -28 = -46
1a = -46

Divide each side by '1'.
a = -46

Simplifying
a = -46

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