40=-8(1+5k)-2(k-3)

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Solution for 40=-8(1+5k)-2(k-3) equation:


Simplifying
40 = -8(1 + 5k) + -2(k + -3)
40 = (1 * -8 + 5k * -8) + -2(k + -3)
40 = (-8 + -40k) + -2(k + -3)

Reorder the terms:
40 = -8 + -40k + -2(-3 + k)
40 = -8 + -40k + (-3 * -2 + k * -2)
40 = -8 + -40k + (6 + -2k)

Reorder the terms:
40 = -8 + 6 + -40k + -2k

Combine like terms: -8 + 6 = -2
40 = -2 + -40k + -2k

Combine like terms: -40k + -2k = -42k
40 = -2 + -42k

Solving
40 = -2 + -42k

Solving for variable 'k'.

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

Add '42k' to each side of the equation.
40 + 42k = -2 + -42k + 42k

Combine like terms: -42k + 42k = 0
40 + 42k = -2 + 0
40 + 42k = -2

Add '-40' to each side of the equation.
40 + -40 + 42k = -2 + -40

Combine like terms: 40 + -40 = 0
0 + 42k = -2 + -40
42k = -2 + -40

Combine like terms: -2 + -40 = -42
42k = -42

Divide each side by '42'.
k = -1

Simplifying
k = -1

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