-3(5k+8)-4(4k+9)-14k=

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Solution for -3(5k+8)-4(4k+9)-14k= equation:


Simplifying
-3(5k + 8) + -4(4k + 9) + -14k = 0

Reorder the terms:
-3(8 + 5k) + -4(4k + 9) + -14k = 0
(8 * -3 + 5k * -3) + -4(4k + 9) + -14k = 0
(-24 + -15k) + -4(4k + 9) + -14k = 0

Reorder the terms:
-24 + -15k + -4(9 + 4k) + -14k = 0
-24 + -15k + (9 * -4 + 4k * -4) + -14k = 0
-24 + -15k + (-36 + -16k) + -14k = 0

Reorder the terms:
-24 + -36 + -15k + -16k + -14k = 0

Combine like terms: -24 + -36 = -60
-60 + -15k + -16k + -14k = 0

Combine like terms: -15k + -16k = -31k
-60 + -31k + -14k = 0

Combine like terms: -31k + -14k = -45k
-60 + -45k = 0

Solving
-60 + -45k = 0

Solving for variable 'k'.

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

Add '60' to each side of the equation.
-60 + 60 + -45k = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -45k = 0 + 60
-45k = 0 + 60

Combine like terms: 0 + 60 = 60
-45k = 60

Divide each side by '-45'.
k = -1.333333333

Simplifying
k = -1.333333333

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