(6a+14b-9c-7)(5)=

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Solution for (6a+14b-9c-7)(5)= equation:


Simplifying
(6a + 14b + -9c + -7)(5) = 0

Reorder the terms:
(-7 + 6a + 14b + -9c)(5) = 0

Reorder the terms for easier multiplication:
5(-7 + 6a + 14b + -9c) = 0
(-7 * 5 + 6a * 5 + 14b * 5 + -9c * 5) = 0
(-35 + 30a + 70b + -45c) = 0

Solving
-35 + 30a + 70b + -45c = 0

Solving for variable 'a'.

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

Add '35' to each side of the equation.
-35 + 30a + 70b + 35 + -45c = 0 + 35

Reorder the terms:
-35 + 35 + 30a + 70b + -45c = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 30a + 70b + -45c = 0 + 35
30a + 70b + -45c = 0 + 35

Combine like terms: 0 + 35 = 35
30a + 70b + -45c = 35

Add '-70b' to each side of the equation.
30a + 70b + -70b + -45c = 35 + -70b

Combine like terms: 70b + -70b = 0
30a + 0 + -45c = 35 + -70b
30a + -45c = 35 + -70b

Add '45c' to each side of the equation.
30a + -45c + 45c = 35 + -70b + 45c

Combine like terms: -45c + 45c = 0
30a + 0 = 35 + -70b + 45c
30a = 35 + -70b + 45c

Divide each side by '30'.
a = 1.166666667 + -2.333333333b + 1.5c

Simplifying
a = 1.166666667 + -2.333333333b + 1.5c

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