48=-4(k+8)-3(5+5k)

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Solution for 48=-4(k+8)-3(5+5k) equation: 


Simplifying
48 = -4(k + 8) + -3(5 + 5k)

Reorder the terms:
48 = -4(8 + k) + -3(5 + 5k)
48 = (8 * -4 + k * -4) + -3(5 + 5k)
48 = (-32 + -4k) + -3(5 + 5k)
48 = -32 + -4k + (5 * -3 + 5k * -3)
48 = -32 + -4k + (-15 + -15k)

Reorder the terms:
48 = -32 + -15 + -4k + -15k

Combine like terms: -32 + -15 = -47
48 = -47 + -4k + -15k

Combine like terms: -4k + -15k = -19k
48 = -47 + -19k

Solving
48 = -47 + -19k

Solving for variable 'k'.

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

Add '19k' to each side of the equation.
48 + 19k = -47 + -19k + 19k

Combine like terms: -19k + 19k = 0
48 + 19k = -47 + 0
48 + 19k = -47

Add '-48' to each side of the equation.
48 + -48 + 19k = -47 + -48

Combine like terms: 48 + -48 = 0
0 + 19k = -47 + -48
19k = -47 + -48

Combine like terms: -47 + -48 = -95
19k = -95

Divide each side by '19'.
k = -5

Simplifying
k = -5

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