3(k-7)-4(2k-3)-19k=

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Solution for 3(k-7)-4(2k-3)-19k= equation:


Simplifying
3(k + -7) + -4(2k + -3) + -19k = 0

Reorder the terms:
3(-7 + k) + -4(2k + -3) + -19k = 0
(-7 * 3 + k * 3) + -4(2k + -3) + -19k = 0
(-21 + 3k) + -4(2k + -3) + -19k = 0

Reorder the terms:
-21 + 3k + -4(-3 + 2k) + -19k = 0
-21 + 3k + (-3 * -4 + 2k * -4) + -19k = 0
-21 + 3k + (12 + -8k) + -19k = 0

Reorder the terms:
-21 + 12 + 3k + -8k + -19k = 0

Combine like terms: -21 + 12 = -9
-9 + 3k + -8k + -19k = 0

Combine like terms: 3k + -8k = -5k
-9 + -5k + -19k = 0

Combine like terms: -5k + -19k = -24k
-9 + -24k = 0

Solving
-9 + -24k = 0

Solving for variable 'k'.

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

Add '9' to each side of the equation.
-9 + 9 + -24k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -24k = 0 + 9
-24k = 0 + 9

Combine like terms: 0 + 9 = 9
-24k = 9

Divide each side by '-24'.
k = -0.375

Simplifying
k = -0.375

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