-7(3k+10)-4k=-10(k+4)

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Solution for -7(3k+10)-4k=-10(k+4) equation:


Simplifying
-7(3k + 10) + -4k = -10(k + 4)

Reorder the terms:
-7(10 + 3k) + -4k = -10(k + 4)
(10 * -7 + 3k * -7) + -4k = -10(k + 4)
(-70 + -21k) + -4k = -10(k + 4)

Combine like terms: -21k + -4k = -25k
-70 + -25k = -10(k + 4)

Reorder the terms:
-70 + -25k = -10(4 + k)
-70 + -25k = (4 * -10 + k * -10)
-70 + -25k = (-40 + -10k)

Solving
-70 + -25k = -40 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
-70 + -25k + 10k = -40 + -10k + 10k

Combine like terms: -25k + 10k = -15k
-70 + -15k = -40 + -10k + 10k

Combine like terms: -10k + 10k = 0
-70 + -15k = -40 + 0
-70 + -15k = -40

Add '70' to each side of the equation.
-70 + 70 + -15k = -40 + 70

Combine like terms: -70 + 70 = 0
0 + -15k = -40 + 70
-15k = -40 + 70

Combine like terms: -40 + 70 = 30
-15k = 30

Divide each side by '-15'.
k = -2

Simplifying
k = -2

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