-2a+3(a+7)-4(-a+b)=0

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Solution for -2a+3(a+7)-4(-a+b)=0 equation:


Simplifying
-2a + 3(a + 7) + -4(-1a + b) = 0

Reorder the terms:
-2a + 3(7 + a) + -4(-1a + b) = 0
-2a + (7 * 3 + a * 3) + -4(-1a + b) = 0
-2a + (21 + 3a) + -4(-1a + b) = 0
-2a + 21 + 3a + (-1a * -4 + b * -4) = 0
-2a + 21 + 3a + (4a + -4b) = 0

Reorder the terms:
21 + -2a + 3a + 4a + -4b = 0

Combine like terms: -2a + 3a = 1a
21 + 1a + 4a + -4b = 0

Combine like terms: 1a + 4a = 5a
21 + 5a + -4b = 0

Solving
21 + 5a + -4b = 0

Solving for variable 'a'.

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

Add '-21' to each side of the equation.
21 + 5a + -21 + -4b = 0 + -21

Reorder the terms:
21 + -21 + 5a + -4b = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 5a + -4b = 0 + -21
5a + -4b = 0 + -21

Combine like terms: 0 + -21 = -21
5a + -4b = -21

Add '4b' to each side of the equation.
5a + -4b + 4b = -21 + 4b

Combine like terms: -4b + 4b = 0
5a + 0 = -21 + 4b
5a = -21 + 4b

Divide each side by '5'.
a = -4.2 + 0.8b

Simplifying
a = -4.2 + 0.8b

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