-2k-15=5k+8(5k+4)

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Solution for -2k-15=5k+8(5k+4) equation:


Simplifying
-2k + -15 = 5k + 8(5k + 4)

Reorder the terms:
-15 + -2k = 5k + 8(5k + 4)

Reorder the terms:
-15 + -2k = 5k + 8(4 + 5k)
-15 + -2k = 5k + (4 * 8 + 5k * 8)
-15 + -2k = 5k + (32 + 40k)

Reorder the terms:
-15 + -2k = 32 + 5k + 40k

Combine like terms: 5k + 40k = 45k
-15 + -2k = 32 + 45k

Solving
-15 + -2k = 32 + 45k

Solving for variable 'k'.

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

Add '-45k' to each side of the equation.
-15 + -2k + -45k = 32 + 45k + -45k

Combine like terms: -2k + -45k = -47k
-15 + -47k = 32 + 45k + -45k

Combine like terms: 45k + -45k = 0
-15 + -47k = 32 + 0
-15 + -47k = 32

Add '15' to each side of the equation.
-15 + 15 + -47k = 32 + 15

Combine like terms: -15 + 15 = 0
0 + -47k = 32 + 15
-47k = 32 + 15

Combine like terms: 32 + 15 = 47
-47k = 47

Divide each side by '-47'.
k = -1

Simplifying
k = -1

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