19-(9d-5)+18d=3(6d+5)

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Solution for 19-(9d-5)+18d=3(6d+5) equation:


Simplifying
19 + -1(9d + -5) + 18d = 3(6d + 5)

Reorder the terms:
19 + -1(-5 + 9d) + 18d = 3(6d + 5)
19 + (-5 * -1 + 9d * -1) + 18d = 3(6d + 5)
19 + (5 + -9d) + 18d = 3(6d + 5)

Combine like terms: 19 + 5 = 24
24 + -9d + 18d = 3(6d + 5)

Combine like terms: -9d + 18d = 9d
24 + 9d = 3(6d + 5)

Reorder the terms:
24 + 9d = 3(5 + 6d)
24 + 9d = (5 * 3 + 6d * 3)
24 + 9d = (15 + 18d)

Solving
24 + 9d = 15 + 18d

Solving for variable 'd'.

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

Add '-18d' to each side of the equation.
24 + 9d + -18d = 15 + 18d + -18d

Combine like terms: 9d + -18d = -9d
24 + -9d = 15 + 18d + -18d

Combine like terms: 18d + -18d = 0
24 + -9d = 15 + 0
24 + -9d = 15

Add '-24' to each side of the equation.
24 + -24 + -9d = 15 + -24

Combine like terms: 24 + -24 = 0
0 + -9d = 15 + -24
-9d = 15 + -24

Combine like terms: 15 + -24 = -9
-9d = -9

Divide each side by '-9'.
d = 1

Simplifying
d = 1

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