4(k+3)+2=4.5(k+1)

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Solution for 4(k+3)+2=4.5(k+1) equation: 


Simplifying
4(k + 3) + 2 = 4.5(k + 1)

Reorder the terms:
4(3 + k) + 2 = 4.5(k + 1)
(3 * 4 + k * 4) + 2 = 4.5(k + 1)
(12 + 4k) + 2 = 4.5(k + 1)

Reorder the terms:
12 + 2 + 4k = 4.5(k + 1)

Combine like terms: 12 + 2 = 14
14 + 4k = 4.5(k + 1)

Reorder the terms:
14 + 4k = 4.5(1 + k)
14 + 4k = (1 * 4.5 + k * 4.5)
14 + 4k = (4.5 + 4.5k)

Solving
14 + 4k = 4.5 + 4.5k

Solving for variable 'k'.

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

Add '-4.5k' to each side of the equation.
14 + 4k + -4.5k = 4.5 + 4.5k + -4.5k

Combine like terms: 4k + -4.5k = -0.5k
14 + -0.5k = 4.5 + 4.5k + -4.5k

Combine like terms: 4.5k + -4.5k = 0.0
14 + -0.5k = 4.5 + 0.0
14 + -0.5k = 4.5

Add '-14' to each side of the equation.
14 + -14 + -0.5k = 4.5 + -14

Combine like terms: 14 + -14 = 0
0 + -0.5k = 4.5 + -14
-0.5k = 4.5 + -14

Combine like terms: 4.5 + -14 = -9.5
-0.5k = -9.5

Divide each side by '-0.5'.
k = 19

Simplifying
k = 19

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