6(a+3)-10=-9(b-1)

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Solution for 6(a+3)-10=-9(b-1) equation:


Simplifying
6(a + 3) + -10 = -9(b + -1)

Reorder the terms:
6(3 + a) + -10 = -9(b + -1)
(3 * 6 + a * 6) + -10 = -9(b + -1)
(18 + 6a) + -10 = -9(b + -1)

Reorder the terms:
18 + -10 + 6a = -9(b + -1)

Combine like terms: 18 + -10 = 8
8 + 6a = -9(b + -1)

Reorder the terms:
8 + 6a = -9(-1 + b)
8 + 6a = (-1 * -9 + b * -9)
8 + 6a = (9 + -9b)

Solving
8 + 6a = 9 + -9b

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + 6a = 9 + -8 + -9b

Combine like terms: 8 + -8 = 0
0 + 6a = 9 + -8 + -9b
6a = 9 + -8 + -9b

Combine like terms: 9 + -8 = 1
6a = 1 + -9b

Divide each side by '6'.
a = 0.1666666667 + -1.5b

Simplifying
a = 0.1666666667 + -1.5b

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