10d+9=-7+2(4d+3)

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Solution for 10d+9=-7+2(4d+3) equation:


Simplifying
10d + 9 = -7 + 2(4d + 3)

Reorder the terms:
9 + 10d = -7 + 2(4d + 3)

Reorder the terms:
9 + 10d = -7 + 2(3 + 4d)
9 + 10d = -7 + (3 * 2 + 4d * 2)
9 + 10d = -7 + (6 + 8d)

Combine like terms: -7 + 6 = -1
9 + 10d = -1 + 8d

Solving
9 + 10d = -1 + 8d

Solving for variable 'd'.

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

Add '-8d' to each side of the equation.
9 + 10d + -8d = -1 + 8d + -8d

Combine like terms: 10d + -8d = 2d
9 + 2d = -1 + 8d + -8d

Combine like terms: 8d + -8d = 0
9 + 2d = -1 + 0
9 + 2d = -1

Add '-9' to each side of the equation.
9 + -9 + 2d = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 2d = -1 + -9
2d = -1 + -9

Combine like terms: -1 + -9 = -10
2d = -10

Divide each side by '2'.
d = -5

Simplifying
d = -5

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