-42=5(1+5a)+3

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Solution for -42=5(1+5a)+3 equation:


Simplifying
-42 = 5(1 + 5a) + 3
-42 = (1 * 5 + 5a * 5) + 3
-42 = (5 + 25a) + 3

Reorder the terms:
-42 = 5 + 3 + 25a

Combine like terms: 5 + 3 = 8
-42 = 8 + 25a

Solving
-42 = 8 + 25a

Solving for variable 'a'.

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

Add '-25a' to each side of the equation.
-42 + -25a = 8 + 25a + -25a

Combine like terms: 25a + -25a = 0
-42 + -25a = 8 + 0
-42 + -25a = 8

Add '42' to each side of the equation.
-42 + 42 + -25a = 8 + 42

Combine like terms: -42 + 42 = 0
0 + -25a = 8 + 42
-25a = 8 + 42

Combine like terms: 8 + 42 = 50
-25a = 50

Divide each side by '-25'.
a = -2

Simplifying
a = -2

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