-2(4d-7)+7(d+1)=19

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Solution for -2(4d-7)+7(d+1)=19 equation:


Simplifying
-2(4d + -7) + 7(d + 1) = 19

Reorder the terms:
-2(-7 + 4d) + 7(d + 1) = 19
(-7 * -2 + 4d * -2) + 7(d + 1) = 19
(14 + -8d) + 7(d + 1) = 19

Reorder the terms:
14 + -8d + 7(1 + d) = 19
14 + -8d + (1 * 7 + d * 7) = 19
14 + -8d + (7 + 7d) = 19

Reorder the terms:
14 + 7 + -8d + 7d = 19

Combine like terms: 14 + 7 = 21
21 + -8d + 7d = 19

Combine like terms: -8d + 7d = -1d
21 + -1d = 19

Solving
21 + -1d = 19

Solving for variable 'd'.

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

Add '-21' to each side of the equation.
21 + -21 + -1d = 19 + -21

Combine like terms: 21 + -21 = 0
0 + -1d = 19 + -21
-1d = 19 + -21

Combine like terms: 19 + -21 = -2
-1d = -2

Divide each side by '-1'.
d = 2

Simplifying
d = 2

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