2(a-5)-9(a-5)=6(5a+5)

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Solution for 2(a-5)-9(a-5)=6(5a+5) equation:


Simplifying
2(a + -5) + -9(a + -5) = 6(5a + 5)

Reorder the terms:
2(-5 + a) + -9(a + -5) = 6(5a + 5)
(-5 * 2 + a * 2) + -9(a + -5) = 6(5a + 5)
(-10 + 2a) + -9(a + -5) = 6(5a + 5)

Reorder the terms:
-10 + 2a + -9(-5 + a) = 6(5a + 5)
-10 + 2a + (-5 * -9 + a * -9) = 6(5a + 5)
-10 + 2a + (45 + -9a) = 6(5a + 5)

Reorder the terms:
-10 + 45 + 2a + -9a = 6(5a + 5)

Combine like terms: -10 + 45 = 35
35 + 2a + -9a = 6(5a + 5)

Combine like terms: 2a + -9a = -7a
35 + -7a = 6(5a + 5)

Reorder the terms:
35 + -7a = 6(5 + 5a)
35 + -7a = (5 * 6 + 5a * 6)
35 + -7a = (30 + 30a)

Solving
35 + -7a = 30 + 30a

Solving for variable 'a'.

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

Add '-30a' to each side of the equation.
35 + -7a + -30a = 30 + 30a + -30a

Combine like terms: -7a + -30a = -37a
35 + -37a = 30 + 30a + -30a

Combine like terms: 30a + -30a = 0
35 + -37a = 30 + 0
35 + -37a = 30

Add '-35' to each side of the equation.
35 + -35 + -37a = 30 + -35

Combine like terms: 35 + -35 = 0
0 + -37a = 30 + -35
-37a = 30 + -35

Combine like terms: 30 + -35 = -5
-37a = -5

Divide each side by '-37'.
a = 0.1351351351

Simplifying
a = 0.1351351351

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