2-3(2+a)=4(a-1)-7

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Solution for 2-3(2+a)=4(a-1)-7 equation: 


Simplifying
2 + -3(2 + a) = 4(a + -1) + -7
2 + (2 * -3 + a * -3) = 4(a + -1) + -7
2 + (-6 + -3a) = 4(a + -1) + -7

Combine like terms: 2 + -6 = -4
-4 + -3a = 4(a + -1) + -7

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

Reorder the terms:
-4 + -3a = -4 + -7 + 4a

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

Solving
-4 + -3a = -11 + 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.
-4 + -3a + -4a = -11 + 4a + -4a

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

Combine like terms: 4a + -4a = 0
-4 + -7a = -11 + 0
-4 + -7a = -11

Add '4' to each side of the equation.
-4 + 4 + -7a = -11 + 4

Combine like terms: -4 + 4 = 0
0 + -7a = -11 + 4
-7a = -11 + 4

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

Divide each side by '-7'.
a = 1

Simplifying
a = 1

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