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

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


Simplifying
(4 + -1a) = 7(a + 7)

Remove parenthesis around (4 + -1a)
4 + -1a = 7(a + 7)

Reorder the terms:
4 + -1a = 7(7 + a)
4 + -1a = (7 * 7 + a * 7)
4 + -1a = (49 + 7a)

Solving
4 + -1a = 49 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
4 + -1a + -7a = 49 + 7a + -7a

Combine like terms: -1a + -7a = -8a
4 + -8a = 49 + 7a + -7a

Combine like terms: 7a + -7a = 0
4 + -8a = 49 + 0
4 + -8a = 49

Add '-4' to each side of the equation.
4 + -4 + -8a = 49 + -4

Combine like terms: 4 + -4 = 0
0 + -8a = 49 + -4
-8a = 49 + -4

Combine like terms: 49 + -4 = 45
-8a = 45

Divide each side by '-8'.
a = -5.625

Simplifying
a = -5.625

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