-3+3(6+5k)=-4(1-4k)+3

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Solution for -3+3(6+5k)=-4(1-4k)+3 equation:


Simplifying
-3 + 3(6 + 5k) = -4(1 + -4k) + 3
-3 + (6 * 3 + 5k * 3) = -4(1 + -4k) + 3
-3 + (18 + 15k) = -4(1 + -4k) + 3

Combine like terms: -3 + 18 = 15
15 + 15k = -4(1 + -4k) + 3
15 + 15k = (1 * -4 + -4k * -4) + 3
15 + 15k = (-4 + 16k) + 3

Reorder the terms:
15 + 15k = -4 + 3 + 16k

Combine like terms: -4 + 3 = -1
15 + 15k = -1 + 16k

Solving
15 + 15k = -1 + 16k

Solving for variable 'k'.

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

Add '-16k' to each side of the equation.
15 + 15k + -16k = -1 + 16k + -16k

Combine like terms: 15k + -16k = -1k
15 + -1k = -1 + 16k + -16k

Combine like terms: 16k + -16k = 0
15 + -1k = -1 + 0
15 + -1k = -1

Add '-15' to each side of the equation.
15 + -15 + -1k = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -1k = -1 + -15
-1k = -1 + -15

Combine like terms: -1 + -15 = -16
-1k = -16

Divide each side by '-1'.
k = 16

Simplifying
k = 16

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