7(4-a)+1=1-4(a+5)

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Solution for 7(4-a)+1=1-4(a+5) equation:


Simplifying
7(4 + -1a) + 1 = 1 + -4(a + 5)
(4 * 7 + -1a * 7) + 1 = 1 + -4(a + 5)
(28 + -7a) + 1 = 1 + -4(a + 5)

Reorder the terms:
28 + 1 + -7a = 1 + -4(a + 5)

Combine like terms: 28 + 1 = 29
29 + -7a = 1 + -4(a + 5)

Reorder the terms:
29 + -7a = 1 + -4(5 + a)
29 + -7a = 1 + (5 * -4 + a * -4)
29 + -7a = 1 + (-20 + -4a)

Combine like terms: 1 + -20 = -19
29 + -7a = -19 + -4a

Solving
29 + -7a = -19 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
29 + -7a + 4a = -19 + -4a + 4a

Combine like terms: -7a + 4a = -3a
29 + -3a = -19 + -4a + 4a

Combine like terms: -4a + 4a = 0
29 + -3a = -19 + 0
29 + -3a = -19

Add '-29' to each side of the equation.
29 + -29 + -3a = -19 + -29

Combine like terms: 29 + -29 = 0
0 + -3a = -19 + -29
-3a = -19 + -29

Combine like terms: -19 + -29 = -48
-3a = -48

Divide each side by '-3'.
a = 16

Simplifying
a = 16

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