2(k+7)-3(4k-3)=10k-3

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Solution for 2(k+7)-3(4k-3)=10k-3 equation:


Simplifying
2(k + 7) + -3(4k + -3) = 10k + -3

Reorder the terms:
2(7 + k) + -3(4k + -3) = 10k + -3
(7 * 2 + k * 2) + -3(4k + -3) = 10k + -3
(14 + 2k) + -3(4k + -3) = 10k + -3

Reorder the terms:
14 + 2k + -3(-3 + 4k) = 10k + -3
14 + 2k + (-3 * -3 + 4k * -3) = 10k + -3
14 + 2k + (9 + -12k) = 10k + -3

Reorder the terms:
14 + 9 + 2k + -12k = 10k + -3

Combine like terms: 14 + 9 = 23
23 + 2k + -12k = 10k + -3

Combine like terms: 2k + -12k = -10k
23 + -10k = 10k + -3

Reorder the terms:
23 + -10k = -3 + 10k

Solving
23 + -10k = -3 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
23 + -10k + -10k = -3 + 10k + -10k

Combine like terms: -10k + -10k = -20k
23 + -20k = -3 + 10k + -10k

Combine like terms: 10k + -10k = 0
23 + -20k = -3 + 0
23 + -20k = -3

Add '-23' to each side of the equation.
23 + -23 + -20k = -3 + -23

Combine like terms: 23 + -23 = 0
0 + -20k = -3 + -23
-20k = -3 + -23

Combine like terms: -3 + -23 = -26
-20k = -26

Divide each side by '-20'.
k = 1.3

Simplifying
k = 1.3

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