5(20k+11)+13=-6(-19k+19)

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Solution for 5(20k+11)+13=-6(-19k+19) equation:


Simplifying
5(20k + 11) + 13 = -6(-19k + 19)

Reorder the terms:
5(11 + 20k) + 13 = -6(-19k + 19)
(11 * 5 + 20k * 5) + 13 = -6(-19k + 19)
(55 + 100k) + 13 = -6(-19k + 19)

Reorder the terms:
55 + 13 + 100k = -6(-19k + 19)

Combine like terms: 55 + 13 = 68
68 + 100k = -6(-19k + 19)

Reorder the terms:
68 + 100k = -6(19 + -19k)
68 + 100k = (19 * -6 + -19k * -6)
68 + 100k = (-114 + 114k)

Solving
68 + 100k = -114 + 114k

Solving for variable 'k'.

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

Add '-114k' to each side of the equation.
68 + 100k + -114k = -114 + 114k + -114k

Combine like terms: 100k + -114k = -14k
68 + -14k = -114 + 114k + -114k

Combine like terms: 114k + -114k = 0
68 + -14k = -114 + 0
68 + -14k = -114

Add '-68' to each side of the equation.
68 + -68 + -14k = -114 + -68

Combine like terms: 68 + -68 = 0
0 + -14k = -114 + -68
-14k = -114 + -68

Combine like terms: -114 + -68 = -182
-14k = -182

Divide each side by '-14'.
k = 13

Simplifying
k = 13

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