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

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


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

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

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

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

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

Combine like terms: 4k + -28k = -24k
59 = -13 + -24k

Solving
59 = -13 + -24k

Solving for variable 'k'.

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

Add '24k' to each side of the equation.
59 + 24k = -13 + -24k + 24k

Combine like terms: -24k + 24k = 0
59 + 24k = -13 + 0
59 + 24k = -13

Add '-59' to each side of the equation.
59 + -59 + 24k = -13 + -59

Combine like terms: 59 + -59 = 0
0 + 24k = -13 + -59
24k = -13 + -59

Combine like terms: -13 + -59 = -72
24k = -72

Divide each side by '24'.
k = -3

Simplifying
k = -3

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