34.8k+0.2(k-4)=1.2-9(2-3k)

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Solution for 34.8k+0.2(k-4)=1.2-9(2-3k) equation:


Simplifying
34.8k + 0.2(k + -4) = 1.2 + -9(2 + -3k)

Reorder the terms:
34.8k + 0.2(-4 + k) = 1.2 + -9(2 + -3k)
34.8k + (-4 * 0.2 + k * 0.2) = 1.2 + -9(2 + -3k)
34.8k + (-0.8 + 0.2k) = 1.2 + -9(2 + -3k)

Reorder the terms:
-0.8 + 34.8k + 0.2k = 1.2 + -9(2 + -3k)

Combine like terms: 34.8k + 0.2k = 35k
-0.8 + 35k = 1.2 + -9(2 + -3k)
-0.8 + 35k = 1.2 + (2 * -9 + -3k * -9)
-0.8 + 35k = 1.2 + (-18 + 27k)

Combine like terms: 1.2 + -18 = -16.8
-0.8 + 35k = -16.8 + 27k

Solving
-0.8 + 35k = -16.8 + 27k

Solving for variable 'k'.

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

Add '-27k' to each side of the equation.
-0.8 + 35k + -27k = -16.8 + 27k + -27k

Combine like terms: 35k + -27k = 8k
-0.8 + 8k = -16.8 + 27k + -27k

Combine like terms: 27k + -27k = 0
-0.8 + 8k = -16.8 + 0
-0.8 + 8k = -16.8

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 8k = -16.8 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 8k = -16.8 + 0.8
8k = -16.8 + 0.8

Combine like terms: -16.8 + 0.8 = -16
8k = -16

Divide each side by '8'.
k = -2

Simplifying
k = -2

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