4(k+5)-(3k+3)=-2

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Solution for 4(k+5)-(3k+3)=-2 equation:


Simplifying
4(k + 5) + -1(3k + 3) = -2

Reorder the terms:
4(5 + k) + -1(3k + 3) = -2
(5 * 4 + k * 4) + -1(3k + 3) = -2
(20 + 4k) + -1(3k + 3) = -2

Reorder the terms:
20 + 4k + -1(3 + 3k) = -2
20 + 4k + (3 * -1 + 3k * -1) = -2
20 + 4k + (-3 + -3k) = -2

Reorder the terms:
20 + -3 + 4k + -3k = -2

Combine like terms: 20 + -3 = 17
17 + 4k + -3k = -2

Combine like terms: 4k + -3k = 1k
17 + 1k = -2

Solving
17 + 1k = -2

Solving for variable 'k'.

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

Add '-17' to each side of the equation.
17 + -17 + 1k = -2 + -17

Combine like terms: 17 + -17 = 0
0 + 1k = -2 + -17
1k = -2 + -17

Combine like terms: -2 + -17 = -19
1k = -19

Divide each side by '1'.
k = -19

Simplifying
k = -19

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