26.5=4.5+8(k-5)

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Solution for 26.5=4.5+8(k-5) equation:


Simplifying
26.5 = 4.5 + 8(k + -5)

Reorder the terms:
26.5 = 4.5 + 8(-5 + k)
26.5 = 4.5 + (-5 * 8 + k * 8)
26.5 = 4.5 + (-40 + 8k)

Combine like terms: 4.5 + -40 = -35.5
26.5 = -35.5 + 8k

Solving
26.5 = -35.5 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
26.5 + -8k = -35.5 + 8k + -8k

Combine like terms: 8k + -8k = 0
26.5 + -8k = -35.5 + 0
26.5 + -8k = -35.5

Add '-26.5' to each side of the equation.
26.5 + -26.5 + -8k = -35.5 + -26.5

Combine like terms: 26.5 + -26.5 = 0.0
0.0 + -8k = -35.5 + -26.5
-8k = -35.5 + -26.5

Combine like terms: -35.5 + -26.5 = -62
-8k = -62

Divide each side by '-8'.
k = 7.75

Simplifying
k = 7.75

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