(2a-8b+5)-(-3a+8b-7)=

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Solution for (2a-8b+5)-(-3a+8b-7)= equation:


Simplifying
(2a + -8b + 5) + -1(-3a + 8b + -7) = 0

Reorder the terms:
(5 + 2a + -8b) + -1(-3a + 8b + -7) = 0

Remove parenthesis around (5 + 2a + -8b)
5 + 2a + -8b + -1(-3a + 8b + -7) = 0

Reorder the terms:
5 + 2a + -8b + -1(-7 + -3a + 8b) = 0
5 + 2a + -8b + (-7 * -1 + -3a * -1 + 8b * -1) = 0
5 + 2a + -8b + (7 + 3a + -8b) = 0

Reorder the terms:
5 + 7 + 2a + 3a + -8b + -8b = 0

Combine like terms: 5 + 7 = 12
12 + 2a + 3a + -8b + -8b = 0

Combine like terms: 2a + 3a = 5a
12 + 5a + -8b + -8b = 0

Combine like terms: -8b + -8b = -16b
12 + 5a + -16b = 0

Solving
12 + 5a + -16b = 0

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + 5a + -12 + -16b = 0 + -12

Reorder the terms:
12 + -12 + 5a + -16b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5a + -16b = 0 + -12
5a + -16b = 0 + -12

Combine like terms: 0 + -12 = -12
5a + -16b = -12

Add '16b' to each side of the equation.
5a + -16b + 16b = -12 + 16b

Combine like terms: -16b + 16b = 0
5a + 0 = -12 + 16b
5a = -12 + 16b

Divide each side by '5'.
a = -2.4 + 3.2b

Simplifying
a = -2.4 + 3.2b

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