9+3(5+d)=2(2d-5)-1

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Solution for 9+3(5+d)=2(2d-5)-1 equation:


Simplifying
9 + 3(5 + d) = 2(2d + -5) + -1
9 + (5 * 3 + d * 3) = 2(2d + -5) + -1
9 + (15 + 3d) = 2(2d + -5) + -1

Combine like terms: 9 + 15 = 24
24 + 3d = 2(2d + -5) + -1

Reorder the terms:
24 + 3d = 2(-5 + 2d) + -1
24 + 3d = (-5 * 2 + 2d * 2) + -1
24 + 3d = (-10 + 4d) + -1

Reorder the terms:
24 + 3d = -10 + -1 + 4d

Combine like terms: -10 + -1 = -11
24 + 3d = -11 + 4d

Solving
24 + 3d = -11 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
24 + 3d + -4d = -11 + 4d + -4d

Combine like terms: 3d + -4d = -1d
24 + -1d = -11 + 4d + -4d

Combine like terms: 4d + -4d = 0
24 + -1d = -11 + 0
24 + -1d = -11

Add '-24' to each side of the equation.
24 + -24 + -1d = -11 + -24

Combine like terms: 24 + -24 = 0
0 + -1d = -11 + -24
-1d = -11 + -24

Combine like terms: -11 + -24 = -35
-1d = -35

Divide each side by '-1'.
d = 35

Simplifying
d = 35

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