0.5(7d+4)=7-(1.5)d

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Solution for 0.5(7d+4)=7-(1.5)d equation: 


Simplifying
0.5(7d + 4) = 7 + -1(1.5) * d

Reorder the terms:
0.5(4 + 7d) = 7 + -1(1.5) * d
(4 * 0.5 + 7d * 0.5) = 7 + -1(1.5) * d
(2 + 3.5d) = 7 + -1(1.5) * d

Multiply -1 * 1.5
2 + 3.5d = 7 + -1.5d

Solving
2 + 3.5d = 7 + -1.5d

Solving for variable 'd'.

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

Add '1.5d' to each side of the equation.
2 + 3.5d + 1.5d = 7 + -1.5d + 1.5d

Combine like terms: 3.5d + 1.5d = 5d
2 + 5d = 7 + -1.5d + 1.5d

Combine like terms: -1.5d + 1.5d = 0.0
2 + 5d = 7 + 0.0
2 + 5d = 7

Add '-2' to each side of the equation.
2 + -2 + 5d = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 5d = 7 + -2
5d = 7 + -2

Combine like terms: 7 + -2 = 5
5d = 5

Divide each side by '5'.
d = 1

Simplifying
d = 1

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