9a+10(6a-1)=-9(6m-3)+6(1+4)

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Solution for 9a+10(6a-1)=-9(6m-3)+6(1+4) equation:


Simplifying
9a + 10(6a + -1) = -9(6m + -3) + 6(1 + 4)

Reorder the terms:
9a + 10(-1 + 6a) = -9(6m + -3) + 6(1 + 4)
9a + (-1 * 10 + 6a * 10) = -9(6m + -3) + 6(1 + 4)
9a + (-10 + 60a) = -9(6m + -3) + 6(1 + 4)

Reorder the terms:
-10 + 9a + 60a = -9(6m + -3) + 6(1 + 4)

Combine like terms: 9a + 60a = 69a
-10 + 69a = -9(6m + -3) + 6(1 + 4)

Reorder the terms:
-10 + 69a = -9(-3 + 6m) + 6(1 + 4)
-10 + 69a = (-3 * -9 + 6m * -9) + 6(1 + 4)
-10 + 69a = (27 + -54m) + 6(1 + 4)

Combine like terms: 1 + 4 = 5
-10 + 69a = 27 + -54m + 6(5)

Multiply 6 * 5
-10 + 69a = 27 + -54m + 30

Reorder the terms:
-10 + 69a = 27 + 30 + -54m

Combine like terms: 27 + 30 = 57
-10 + 69a = 57 + -54m

Solving
-10 + 69a = 57 + -54m

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + 10 + 69a = 57 + 10 + -54m

Combine like terms: -10 + 10 = 0
0 + 69a = 57 + 10 + -54m
69a = 57 + 10 + -54m

Combine like terms: 57 + 10 = 67
69a = 67 + -54m

Divide each side by '69'.
a = 0.9710144928 + -0.7826086957m

Simplifying
a = 0.9710144928 + -0.7826086957m

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