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

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


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

Reorder the terms:
-4(1 + a) + -3 = -7(2a + -3)
(1 * -4 + a * -4) + -3 = -7(2a + -3)
(-4 + -4a) + -3 = -7(2a + -3)

Reorder the terms:
-4 + -3 + -4a = -7(2a + -3)

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

Reorder the terms:
-7 + -4a = -7(-3 + 2a)
-7 + -4a = (-3 * -7 + 2a * -7)
-7 + -4a = (21 + -14a)

Solving
-7 + -4a = 21 + -14a

Solving for variable 'a'.

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

Add '14a' to each side of the equation.
-7 + -4a + 14a = 21 + -14a + 14a

Combine like terms: -4a + 14a = 10a
-7 + 10a = 21 + -14a + 14a

Combine like terms: -14a + 14a = 0
-7 + 10a = 21 + 0
-7 + 10a = 21

Add '7' to each side of the equation.
-7 + 7 + 10a = 21 + 7

Combine like terms: -7 + 7 = 0
0 + 10a = 21 + 7
10a = 21 + 7

Combine like terms: 21 + 7 = 28
10a = 28

Divide each side by '10'.
a = 2.8

Simplifying
a = 2.8

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