15(d+7)=4(d-4)+11

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Solution for 15(d+7)=4(d-4)+11 equation: 


Simplifying
15(d + 7) = 4(d + -4) + 11

Reorder the terms:
15(7 + d) = 4(d + -4) + 11
(7 * 15 + d * 15) = 4(d + -4) + 11
(105 + 15d) = 4(d + -4) + 11

Reorder the terms:
105 + 15d = 4(-4 + d) + 11
105 + 15d = (-4 * 4 + d * 4) + 11
105 + 15d = (-16 + 4d) + 11

Reorder the terms:
105 + 15d = -16 + 11 + 4d

Combine like terms: -16 + 11 = -5
105 + 15d = -5 + 4d

Solving
105 + 15d = -5 + 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.
105 + 15d + -4d = -5 + 4d + -4d

Combine like terms: 15d + -4d = 11d
105 + 11d = -5 + 4d + -4d

Combine like terms: 4d + -4d = 0
105 + 11d = -5 + 0
105 + 11d = -5

Add '-105' to each side of the equation.
105 + -105 + 11d = -5 + -105

Combine like terms: 105 + -105 = 0
0 + 11d = -5 + -105
11d = -5 + -105

Combine like terms: -5 + -105 = -110
11d = -110

Divide each side by '11'.
d = -10

Simplifying
d = -10

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