5(4d+4s+20)-(12d+50)=0

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Solution for 5(4d+4s+20)-(12d+50)=0 equation:


Simplifying
5(4d + 4s + 20) + -1(12d + 50) = 0

Reorder the terms:
5(20 + 4d + 4s) + -1(12d + 50) = 0
(20 * 5 + 4d * 5 + 4s * 5) + -1(12d + 50) = 0
(100 + 20d + 20s) + -1(12d + 50) = 0

Reorder the terms:
100 + 20d + 20s + -1(50 + 12d) = 0
100 + 20d + 20s + (50 * -1 + 12d * -1) = 0
100 + 20d + 20s + (-50 + -12d) = 0

Reorder the terms:
100 + -50 + 20d + -12d + 20s = 0

Combine like terms: 100 + -50 = 50
50 + 20d + -12d + 20s = 0

Combine like terms: 20d + -12d = 8d
50 + 8d + 20s = 0

Solving
50 + 8d + 20s = 0

Solving for variable 'd'.

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

Add '-50' to each side of the equation.
50 + 8d + -50 + 20s = 0 + -50

Reorder the terms:
50 + -50 + 8d + 20s = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 8d + 20s = 0 + -50
8d + 20s = 0 + -50

Combine like terms: 0 + -50 = -50
8d + 20s = -50

Add '-20s' to each side of the equation.
8d + 20s + -20s = -50 + -20s

Combine like terms: 20s + -20s = 0
8d + 0 = -50 + -20s
8d = -50 + -20s

Divide each side by '8'.
d = -6.25 + -2.5s

Simplifying
d = -6.25 + -2.5s

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