59=4(k+2)-7(4x+3)

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Solution for 59=4(k+2)-7(4x+3) equation: 


Simplifying
59 = 4(k + 2) + -7(4x + 3)

Reorder the terms:
59 = 4(2 + k) + -7(4x + 3)
59 = (2 * 4 + k * 4) + -7(4x + 3)
59 = (8 + 4k) + -7(4x + 3)

Reorder the terms:
59 = 8 + 4k + -7(3 + 4x)
59 = 8 + 4k + (3 * -7 + 4x * -7)
59 = 8 + 4k + (-21 + -28x)

Reorder the terms:
59 = 8 + -21 + 4k + -28x

Combine like terms: 8 + -21 = -13
59 = -13 + 4k + -28x

Solving
59 = -13 + 4k + -28x

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
59 + -4k = -13 + 4k + -4k + -28x

Combine like terms: 4k + -4k = 0
59 + -4k = -13 + 0 + -28x
59 + -4k = -13 + -28x

Add '-59' to each side of the equation.
59 + -59 + -4k = -13 + -59 + -28x

Combine like terms: 59 + -59 = 0
0 + -4k = -13 + -59 + -28x
-4k = -13 + -59 + -28x

Combine like terms: -13 + -59 = -72
-4k = -72 + -28x

Divide each side by '-4'.
k = 18 + 7x

Simplifying
k = 18 + 7x

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