10a+3=4(a-1)+1-1

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Solution for 10a+3=4(a-1)+1-1 equation:


Simplifying
10a + 3 = 4(a + -1) + 1 + -1

Reorder the terms:
3 + 10a = 4(a + -1) + 1 + -1

Reorder the terms:
3 + 10a = 4(-1 + a) + 1 + -1
3 + 10a = (-1 * 4 + a * 4) + 1 + -1
3 + 10a = (-4 + 4a) + 1 + -1

Reorder the terms:
3 + 10a = -4 + 1 + -1 + 4a

Combine like terms: -4 + 1 = -3
3 + 10a = -3 + -1 + 4a

Combine like terms: -3 + -1 = -4
3 + 10a = -4 + 4a

Solving
3 + 10a = -4 + 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.
3 + 10a + -4a = -4 + 4a + -4a

Combine like terms: 10a + -4a = 6a
3 + 6a = -4 + 4a + -4a

Combine like terms: 4a + -4a = 0
3 + 6a = -4 + 0
3 + 6a = -4

Add '-3' to each side of the equation.
3 + -3 + 6a = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 6a = -4 + -3
6a = -4 + -3

Combine like terms: -4 + -3 = -7
6a = -7

Divide each side by '6'.
a = -1.166666667

Simplifying
a = -1.166666667

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