.7(d+5)=.6(d-2)

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Solution for .7(d+5)=.6(d-2) equation: 


Simplifying
0.7(d + 5) = 0.6(d + -2)

Reorder the terms:
0.7(5 + d) = 0.6(d + -2)
(5 * 0.7 + d * 0.7) = 0.6(d + -2)
(3.5 + 0.7d) = 0.6(d + -2)

Reorder the terms:
3.5 + 0.7d = 0.6(-2 + d)
3.5 + 0.7d = (-2 * 0.6 + d * 0.6)
3.5 + 0.7d = (-1.2 + 0.6d)

Solving
3.5 + 0.7d = -1.2 + 0.6d

Solving for variable 'd'.

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

Add '-0.6d' to each side of the equation.
3.5 + 0.7d + -0.6d = -1.2 + 0.6d + -0.6d

Combine like terms: 0.7d + -0.6d = 0.1d
3.5 + 0.1d = -1.2 + 0.6d + -0.6d

Combine like terms: 0.6d + -0.6d = 0.0
3.5 + 0.1d = -1.2 + 0.0
3.5 + 0.1d = -1.2

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 0.1d = -1.2 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 0.1d = -1.2 + -3.5
0.1d = -1.2 + -3.5

Combine like terms: -1.2 + -3.5 = -4.7
0.1d = -4.7

Divide each side by '0.1'.
d = -47

Simplifying
d = -47

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