-10+7(a+3)=4(a-1)+5

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Solution for -10+7(a+3)=4(a-1)+5 equation:


Simplifying
-10 + 7(a + 3) = 4(a + -1) + 5

Reorder the terms:
-10 + 7(3 + a) = 4(a + -1) + 5
-10 + (3 * 7 + a * 7) = 4(a + -1) + 5
-10 + (21 + 7a) = 4(a + -1) + 5

Combine like terms: -10 + 21 = 11
11 + 7a = 4(a + -1) + 5

Reorder the terms:
11 + 7a = 4(-1 + a) + 5
11 + 7a = (-1 * 4 + a * 4) + 5
11 + 7a = (-4 + 4a) + 5

Reorder the terms:
11 + 7a = -4 + 5 + 4a

Combine like terms: -4 + 5 = 1
11 + 7a = 1 + 4a

Solving
11 + 7a = 1 + 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.
11 + 7a + -4a = 1 + 4a + -4a

Combine like terms: 7a + -4a = 3a
11 + 3a = 1 + 4a + -4a

Combine like terms: 4a + -4a = 0
11 + 3a = 1 + 0
11 + 3a = 1

Add '-11' to each side of the equation.
11 + -11 + 3a = 1 + -11

Combine like terms: 11 + -11 = 0
0 + 3a = 1 + -11
3a = 1 + -11

Combine like terms: 1 + -11 = -10
3a = -10

Divide each side by '3'.
a = -3.333333333

Simplifying
a = -3.333333333

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