6a*2+7a-1b+14-5a+3a*2-25b+16b*2=

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Solution for 6a*2+7a-1b+14-5a+3a*2-25b+16b*2= equation:


Simplifying
6a * 2 + 7a + -1b + 14 + -5a + 3a * 2 + -25b + 16b * 2 = 0

Reorder the terms for easier multiplication:
6 * 2a + 7a + -1b + 14 + -5a + 3a * 2 + -25b + 16b * 2 = 0

Multiply 6 * 2
12a + 7a + -1b + 14 + -5a + 3a * 2 + -25b + 16b * 2 = 0

Reorder the terms for easier multiplication:
12a + 7a + -1b + 14 + -5a + 3 * 2a + -25b + 16b * 2 = 0

Multiply 3 * 2
12a + 7a + -1b + 14 + -5a + 6a + -25b + 16b * 2 = 0

Reorder the terms for easier multiplication:
12a + 7a + -1b + 14 + -5a + 6a + -25b + 16 * 2b = 0

Multiply 16 * 2
12a + 7a + -1b + 14 + -5a + 6a + -25b + 32b = 0

Reorder the terms:
14 + 12a + 7a + -5a + 6a + -1b + -25b + 32b = 0

Combine like terms: 12a + 7a = 19a
14 + 19a + -5a + 6a + -1b + -25b + 32b = 0

Combine like terms: 19a + -5a = 14a
14 + 14a + 6a + -1b + -25b + 32b = 0

Combine like terms: 14a + 6a = 20a
14 + 20a + -1b + -25b + 32b = 0

Combine like terms: -1b + -25b = -26b
14 + 20a + -26b + 32b = 0

Combine like terms: -26b + 32b = 6b
14 + 20a + 6b = 0

Solving
14 + 20a + 6b = 0

Solving for variable 'a'.

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

Add '-14' to each side of the equation.
14 + 20a + -14 + 6b = 0 + -14

Reorder the terms:
14 + -14 + 20a + 6b = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 20a + 6b = 0 + -14
20a + 6b = 0 + -14

Combine like terms: 0 + -14 = -14
20a + 6b = -14

Add '-6b' to each side of the equation.
20a + 6b + -6b = -14 + -6b

Combine like terms: 6b + -6b = 0
20a + 0 = -14 + -6b
20a = -14 + -6b

Divide each side by '20'.
a = -0.7 + -0.3b

Simplifying
a = -0.7 + -0.3b

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