1-8(3d-2)=1-4(d+5)

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Solution for 1-8(3d-2)=1-4(d+5) equation: 


Simplifying
1 + -8(3d + -2) = 1 + -4(d + 5)

Reorder the terms:
1 + -8(-2 + 3d) = 1 + -4(d + 5)
1 + (-2 * -8 + 3d * -8) = 1 + -4(d + 5)
1 + (16 + -24d) = 1 + -4(d + 5)

Combine like terms: 1 + 16 = 17
17 + -24d = 1 + -4(d + 5)

Reorder the terms:
17 + -24d = 1 + -4(5 + d)
17 + -24d = 1 + (5 * -4 + d * -4)
17 + -24d = 1 + (-20 + -4d)

Combine like terms: 1 + -20 = -19
17 + -24d = -19 + -4d

Solving
17 + -24d = -19 + -4d

Solving for variable 'd'.

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

Add '4d' to each side of the equation.
17 + -24d + 4d = -19 + -4d + 4d

Combine like terms: -24d + 4d = -20d
17 + -20d = -19 + -4d + 4d

Combine like terms: -4d + 4d = 0
17 + -20d = -19 + 0
17 + -20d = -19

Add '-17' to each side of the equation.
17 + -17 + -20d = -19 + -17

Combine like terms: 17 + -17 = 0
0 + -20d = -19 + -17
-20d = -19 + -17

Combine like terms: -19 + -17 = -36
-20d = -36

Divide each side by '-20'.
d = 1.8

Simplifying
d = 1.8

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