3(5a-4b-6)-2(2a+2b+4)=

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Solution for 3(5a-4b-6)-2(2a+2b+4)= equation:


Simplifying
3(5a + -4b + -6) + -2(2a + 2b + 4) = 0

Reorder the terms:
3(-6 + 5a + -4b) + -2(2a + 2b + 4) = 0
(-6 * 3 + 5a * 3 + -4b * 3) + -2(2a + 2b + 4) = 0
(-18 + 15a + -12b) + -2(2a + 2b + 4) = 0

Reorder the terms:
-18 + 15a + -12b + -2(4 + 2a + 2b) = 0
-18 + 15a + -12b + (4 * -2 + 2a * -2 + 2b * -2) = 0
-18 + 15a + -12b + (-8 + -4a + -4b) = 0

Reorder the terms:
-18 + -8 + 15a + -4a + -12b + -4b = 0

Combine like terms: -18 + -8 = -26
-26 + 15a + -4a + -12b + -4b = 0

Combine like terms: 15a + -4a = 11a
-26 + 11a + -12b + -4b = 0

Combine like terms: -12b + -4b = -16b
-26 + 11a + -16b = 0

Solving
-26 + 11a + -16b = 0

Solving for variable 'a'.

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

Add '26' to each side of the equation.
-26 + 11a + 26 + -16b = 0 + 26

Reorder the terms:
-26 + 26 + 11a + -16b = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 11a + -16b = 0 + 26
11a + -16b = 0 + 26

Combine like terms: 0 + 26 = 26
11a + -16b = 26

Add '16b' to each side of the equation.
11a + -16b + 16b = 26 + 16b

Combine like terms: -16b + 16b = 0
11a + 0 = 26 + 16b
11a = 26 + 16b

Divide each side by '11'.
a = 2.363636364 + 1.454545455b

Simplifying
a = 2.363636364 + 1.454545455b

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