4a*2-9b*2+a*2-1+2b*2+5=

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Solution for 4a*2-9b*2+a*2-1+2b*2+5= equation: 


Simplifying
4a * 2 + -9b * 2 + a * 2 + -1 + 2b * 2 + 5 = 0

Reorder the terms for easier multiplication:
4 * 2a + -9b * 2 + a * 2 + -1 + 2b * 2 + 5 = 0

Multiply 4 * 2
8a + -9b * 2 + a * 2 + -1 + 2b * 2 + 5 = 0

Reorder the terms for easier multiplication:
8a + -9 * 2b + a * 2 + -1 + 2b * 2 + 5 = 0

Multiply -9 * 2
8a + -18b + a * 2 + -1 + 2b * 2 + 5 = 0

Reorder the terms for easier multiplication:
8a + -18b + 2a + -1 + 2b * 2 + 5 = 0

Reorder the terms for easier multiplication:
8a + -18b + 2a + -1 + 2 * 2b + 5 = 0

Multiply 2 * 2
8a + -18b + 2a + -1 + 4b + 5 = 0

Reorder the terms:
-1 + 5 + 8a + 2a + -18b + 4b = 0

Combine like terms: -1 + 5 = 4
4 + 8a + 2a + -18b + 4b = 0

Combine like terms: 8a + 2a = 10a
4 + 10a + -18b + 4b = 0

Combine like terms: -18b + 4b = -14b
4 + 10a + -14b = 0

Solving
4 + 10a + -14b = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + 10a + -4 + -14b = 0 + -4

Reorder the terms:
4 + -4 + 10a + -14b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 10a + -14b = 0 + -4
10a + -14b = 0 + -4

Combine like terms: 0 + -4 = -4
10a + -14b = -4

Add '14b' to each side of the equation.
10a + -14b + 14b = -4 + 14b

Combine like terms: -14b + 14b = 0
10a + 0 = -4 + 14b
10a = -4 + 14b

Divide each side by '10'.
a = -0.4 + 1.4b

Simplifying
a = -0.4 + 1.4b

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