7(-8k+9)=-9k+16

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Solution for 7(-8k+9)=-9k+16 equation:


Simplifying
7(-8k + 9) = -9k + 16

Reorder the terms:
7(9 + -8k) = -9k + 16
(9 * 7 + -8k * 7) = -9k + 16
(63 + -56k) = -9k + 16

Reorder the terms:
63 + -56k = 16 + -9k

Solving
63 + -56k = 16 + -9k

Solving for variable 'k'.

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

Add '9k' to each side of the equation.
63 + -56k + 9k = 16 + -9k + 9k

Combine like terms: -56k + 9k = -47k
63 + -47k = 16 + -9k + 9k

Combine like terms: -9k + 9k = 0
63 + -47k = 16 + 0
63 + -47k = 16

Add '-63' to each side of the equation.
63 + -63 + -47k = 16 + -63

Combine like terms: 63 + -63 = 0
0 + -47k = 16 + -63
-47k = 16 + -63

Combine like terms: 16 + -63 = -47
-47k = -47

Divide each side by '-47'.
k = 1

Simplifying
k = 1

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