.5(3-5d)=-4.5d+10.5-1.0d

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Solution for .5(3-5d)=-4.5d+10.5-1.0d equation: 


Simplifying
0.5(3 + -5d) = -4.5d + 10.5 + -1.0d
(3 * 0.5 + -5d * 0.5) = -4.5d + 10.5 + -1.0d
(1.5 + -2.5d) = -4.5d + 10.5 + -1.0d

Reorder the terms:
1.5 + -2.5d = 10.5 + -4.5d + -1.0d

Combine like terms: -4.5d + -1.0d = -5.5d
1.5 + -2.5d = 10.5 + -5.5d

Solving
1.5 + -2.5d = 10.5 + -5.5d

Solving for variable 'd'.

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

Add '5.5d' to each side of the equation.
1.5 + -2.5d + 5.5d = 10.5 + -5.5d + 5.5d

Combine like terms: -2.5d + 5.5d = 3d
1.5 + 3d = 10.5 + -5.5d + 5.5d

Combine like terms: -5.5d + 5.5d = 0.0
1.5 + 3d = 10.5 + 0.0
1.5 + 3d = 10.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 3d = 10.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 3d = 10.5 + -1.5
3d = 10.5 + -1.5

Combine like terms: 10.5 + -1.5 = 9
3d = 9

Divide each side by '3'.
d = 3

Simplifying
d = 3

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