3(k+7)-8(1+4k)=-45

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Solution for 3(k+7)-8(1+4k)=-45 equation: 


Simplifying
3(k + 7) + -8(1 + 4k) = -45

Reorder the terms:
3(7 + k) + -8(1 + 4k) = -45
(7 * 3 + k * 3) + -8(1 + 4k) = -45
(21 + 3k) + -8(1 + 4k) = -45
21 + 3k + (1 * -8 + 4k * -8) = -45
21 + 3k + (-8 + -32k) = -45

Reorder the terms:
21 + -8 + 3k + -32k = -45

Combine like terms: 21 + -8 = 13
13 + 3k + -32k = -45

Combine like terms: 3k + -32k = -29k
13 + -29k = -45

Solving
13 + -29k = -45

Solving for variable 'k'.

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

Add '-13' to each side of the equation.
13 + -13 + -29k = -45 + -13

Combine like terms: 13 + -13 = 0
0 + -29k = -45 + -13
-29k = -45 + -13

Combine like terms: -45 + -13 = -58
-29k = -58

Divide each side by '-29'.
k = 2

Simplifying
k = 2

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