Remark
The steps are the same usually. Remove the brackets and collect like terms on each side of the equal sign.
Solution
22+5d = -8(7d - 4) Remove the brackets.
22+5d = -56d + 32 Notice the sign change on 32. 2 minus quantities = a plus when multiplied. Add 56d to both sides.
22 + 5d + 56d = - 56d + 56d + 32
22 + 61d = 32 Subtract 22 from both sides.
61d = 32 - 22
61d = 10 Divide by 51
d = 10/61
d = 0.1639 Answer
Check
LHS
22 + 5*0.1639 = 22.8197
RHS
-8(7*0.1639 - 4)
-8(1.1473 - 4)
-8(-2.8527)
22.8216
The difference is a rounding error.
