4(2k-7)+3(k-3)=46

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Solution for 4(2k-7)+3(k-3)=46 equation:


Simplifying
4(2k + -7) + 3(k + -3) = 46

Reorder the terms:
4(-7 + 2k) + 3(k + -3) = 46
(-7 * 4 + 2k * 4) + 3(k + -3) = 46
(-28 + 8k) + 3(k + -3) = 46

Reorder the terms:
-28 + 8k + 3(-3 + k) = 46
-28 + 8k + (-3 * 3 + k * 3) = 46
-28 + 8k + (-9 + 3k) = 46

Reorder the terms:
-28 + -9 + 8k + 3k = 46

Combine like terms: -28 + -9 = -37
-37 + 8k + 3k = 46

Combine like terms: 8k + 3k = 11k
-37 + 11k = 46

Solving
-37 + 11k = 46

Solving for variable 'k'.

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

Add '37' to each side of the equation.
-37 + 37 + 11k = 46 + 37

Combine like terms: -37 + 37 = 0
0 + 11k = 46 + 37
11k = 46 + 37

Combine like terms: 46 + 37 = 83
11k = 83

Divide each side by '11'.
k = 7.545454545

Simplifying
k = 7.545454545

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