-7=0.75(3+10k)-5k

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Solution for -7=0.75(3+10k)-5k equation:


Simplifying
-7 = 0.75(3 + 10k) + -5k
-7 = (3 * 0.75 + 10k * 0.75) + -5k
-7 = (2.25 + 7.5k) + -5k

Combine like terms: 7.5k + -5k = 2.5k
-7 = 2.25 + 2.5k

Solving
-7 = 2.25 + 2.5k

Solving for variable 'k'.

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

Add '-2.5k' to each side of the equation.
-7 + -2.5k = 2.25 + 2.5k + -2.5k

Combine like terms: 2.5k + -2.5k = 0.0
-7 + -2.5k = 2.25 + 0.0
-7 + -2.5k = 2.25

Add '7' to each side of the equation.
-7 + 7 + -2.5k = 2.25 + 7

Combine like terms: -7 + 7 = 0
0 + -2.5k = 2.25 + 7
-2.5k = 2.25 + 7

Combine like terms: 2.25 + 7 = 9.25
-2.5k = 9.25

Divide each side by '-2.5'.
k = -3.7

Simplifying
k = -3.7

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