Question

solve $12 - 3(2d + 5) = -5d - 7$.\
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$d = 4$\
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$d = 34$\
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$d = 10$\
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$d = \frac{4}{11}$

Explanation:

Step1: Expand the left-hand side

$12 - 6d - 15 = -5d - 7$

Step2: Simplify constants on left

$-6d - 3 = -5d - 7$

Step3: Move $d$ terms to left

$-6d + 5d - 3 = -7$

Step4: Simplify $d$ terms

$-d - 3 = -7$

Step5: Isolate constant terms

$-d = -7 + 3$

Step6: Solve for $d$

$-d = -4 \implies d = 4$

Answer:

$d = 4$