4a+1=7a-14

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Solution for 4a+1=7a-14 equation:


Simplifying
4a + 1 = 7a + -14

Reorder the terms:
1 + 4a = 7a + -14

Reorder the terms:
1 + 4a = -14 + 7a

Solving
1 + 4a = -14 + 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.
1 + 4a + -7a = -14 + 7a + -7a

Combine like terms: 4a + -7a = -3a
1 + -3a = -14 + 7a + -7a

Combine like terms: 7a + -7a = 0
1 + -3a = -14 + 0
1 + -3a = -14

Add '-1' to each side of the equation.
1 + -1 + -3a = -14 + -1

Combine like terms: 1 + -1 = 0
0 + -3a = -14 + -1
-3a = -14 + -1

Combine like terms: -14 + -1 = -15
-3a = -15

Divide each side by '-3'.
a = 5

Simplifying
a = 5

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