5(3d+5s+10)+(8s+15)=

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Solution for 5(3d+5s+10)+(8s+15)= equation:


Simplifying
5(3d + 5s + 10) + (8s + 15) = 0

Reorder the terms:
5(10 + 3d + 5s) + (8s + 15) = 0
(10 * 5 + 3d * 5 + 5s * 5) + (8s + 15) = 0
(50 + 15d + 25s) + (8s + 15) = 0

Reorder the terms:
50 + 15d + 25s + (15 + 8s) = 0

Remove parenthesis around (15 + 8s)
50 + 15d + 25s + 15 + 8s = 0

Reorder the terms:
50 + 15 + 15d + 25s + 8s = 0

Combine like terms: 50 + 15 = 65
65 + 15d + 25s + 8s = 0

Combine like terms: 25s + 8s = 33s
65 + 15d + 33s = 0

Solving
65 + 15d + 33s = 0

Solving for variable 'd'.

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

Add '-65' to each side of the equation.
65 + 15d + -65 + 33s = 0 + -65

Reorder the terms:
65 + -65 + 15d + 33s = 0 + -65

Combine like terms: 65 + -65 = 0
0 + 15d + 33s = 0 + -65
15d + 33s = 0 + -65

Combine like terms: 0 + -65 = -65
15d + 33s = -65

Add '-33s' to each side of the equation.
15d + 33s + -33s = -65 + -33s

Combine like terms: 33s + -33s = 0
15d + 0 = -65 + -33s
15d = -65 + -33s

Divide each side by '15'.
d = -4.333333333 + -2.2s

Simplifying
d = -4.333333333 + -2.2s

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