99a-2(6x+5y)=88+6(9a+2x-4y)

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Solution for 99a-2(6x+5y)=88+6(9a+2x-4y) equation: 


Simplifying
99a + -2(6x + 5y) = 88 + 6(9a + 2x + -4y)
99a + (6x * -2 + 5y * -2) = 88 + 6(9a + 2x + -4y)
99a + (-12x + -10y) = 88 + 6(9a + 2x + -4y)
99a + -12x + -10y = 88 + (9a * 6 + 2x * 6 + -4y * 6)
99a + -12x + -10y = 88 + (54a + 12x + -24y)

Solving
99a + -12x + -10y = 88 + 54a + 12x + -24y

Solving for variable 'a'.

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

Add '-54a' to each side of the equation.
99a + -12x + -54a + -10y = 88 + 54a + 12x + -54a + -24y

Reorder the terms:
99a + -54a + -12x + -10y = 88 + 54a + 12x + -54a + -24y

Combine like terms: 99a + -54a = 45a
45a + -12x + -10y = 88 + 54a + 12x + -54a + -24y

Reorder the terms:
45a + -12x + -10y = 88 + 54a + -54a + 12x + -24y

Combine like terms: 54a + -54a = 0
45a + -12x + -10y = 88 + 0 + 12x + -24y
45a + -12x + -10y = 88 + 12x + -24y

Add '12x' to each side of the equation.
45a + -12x + 12x + -10y = 88 + 12x + 12x + -24y

Combine like terms: -12x + 12x = 0
45a + 0 + -10y = 88 + 12x + 12x + -24y
45a + -10y = 88 + 12x + 12x + -24y

Combine like terms: 12x + 12x = 24x
45a + -10y = 88 + 24x + -24y

Add '10y' to each side of the equation.
45a + -10y + 10y = 88 + 24x + -24y + 10y

Combine like terms: -10y + 10y = 0
45a + 0 = 88 + 24x + -24y + 10y
45a = 88 + 24x + -24y + 10y

Combine like terms: -24y + 10y = -14y
45a = 88 + 24x + -14y

Divide each side by '45'.
a = 1.955555556 + 0.5333333333x + -0.3111111111y

Simplifying
a = 1.955555556 + 0.5333333333x + -0.3111111111y

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