16(-67k+20)=-62(5+17k)

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Solution for 16(-67k+20)=-62(5+17k) equation:


Simplifying
16(-67k + 20) = -62(5 + 17k)

Reorder the terms:
16(20 + -67k) = -62(5 + 17k)
(20 * 16 + -67k * 16) = -62(5 + 17k)
(320 + -1072k) = -62(5 + 17k)
320 + -1072k = (5 * -62 + 17k * -62)
320 + -1072k = (-310 + -1054k)

Solving
320 + -1072k = -310 + -1054k

Solving for variable 'k'.

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

Add '1054k' to each side of the equation.
320 + -1072k + 1054k = -310 + -1054k + 1054k

Combine like terms: -1072k + 1054k = -18k
320 + -18k = -310 + -1054k + 1054k

Combine like terms: -1054k + 1054k = 0
320 + -18k = -310 + 0
320 + -18k = -310

Add '-320' to each side of the equation.
320 + -320 + -18k = -310 + -320

Combine like terms: 320 + -320 = 0
0 + -18k = -310 + -320
-18k = -310 + -320

Combine like terms: -310 + -320 = -630
-18k = -630

Divide each side by '-18'.
k = 35

Simplifying
k = 35

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