3(d-2)-7=3-(4+d)

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Solution for 3(d-2)-7=3-(4+d) equation:


Simplifying
3(d + -2) + -7 = 3 + -1(4 + d)

Reorder the terms:
3(-2 + d) + -7 = 3 + -1(4 + d)
(-2 * 3 + d * 3) + -7 = 3 + -1(4 + d)
(-6 + 3d) + -7 = 3 + -1(4 + d)

Reorder the terms:
-6 + -7 + 3d = 3 + -1(4 + d)

Combine like terms: -6 + -7 = -13
-13 + 3d = 3 + -1(4 + d)
-13 + 3d = 3 + (4 * -1 + d * -1)
-13 + 3d = 3 + (-4 + -1d)

Combine like terms: 3 + -4 = -1
-13 + 3d = -1 + -1d

Solving
-13 + 3d = -1 + -1d

Solving for variable 'd'.

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

Add 'd' to each side of the equation.
-13 + 3d + d = -1 + -1d + d

Combine like terms: 3d + d = 4d
-13 + 4d = -1 + -1d + d

Combine like terms: -1d + d = 0
-13 + 4d = -1 + 0
-13 + 4d = -1

Add '13' to each side of the equation.
-13 + 13 + 4d = -1 + 13

Combine like terms: -13 + 13 = 0
0 + 4d = -1 + 13
4d = -1 + 13

Combine like terms: -1 + 13 = 12
4d = 12

Divide each side by '4'.
d = 3

Simplifying
d = 3

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