6(u-4)-7=-3-(6u+5)-6u

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Solution for 6(u-4)-7=-3-(6u+5)-6u equation:


Simplifying
6(u + -4) + -7 = -3 + -1(6u + 5) + -6u

Reorder the terms:
6(-4 + u) + -7 = -3 + -1(6u + 5) + -6u
(-4 * 6 + u * 6) + -7 = -3 + -1(6u + 5) + -6u
(-24 + 6u) + -7 = -3 + -1(6u + 5) + -6u

Reorder the terms:
-24 + -7 + 6u = -3 + -1(6u + 5) + -6u

Combine like terms: -24 + -7 = -31
-31 + 6u = -3 + -1(6u + 5) + -6u

Reorder the terms:
-31 + 6u = -3 + -1(5 + 6u) + -6u
-31 + 6u = -3 + (5 * -1 + 6u * -1) + -6u
-31 + 6u = -3 + (-5 + -6u) + -6u

Combine like terms: -3 + -5 = -8
-31 + 6u = -8 + -6u + -6u

Combine like terms: -6u + -6u = -12u
-31 + 6u = -8 + -12u

Solving
-31 + 6u = -8 + -12u

Solving for variable 'u'.

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

Add '12u' to each side of the equation.
-31 + 6u + 12u = -8 + -12u + 12u

Combine like terms: 6u + 12u = 18u
-31 + 18u = -8 + -12u + 12u

Combine like terms: -12u + 12u = 0
-31 + 18u = -8 + 0
-31 + 18u = -8

Add '31' to each side of the equation.
-31 + 31 + 18u = -8 + 31

Combine like terms: -31 + 31 = 0
0 + 18u = -8 + 31
18u = -8 + 31

Combine like terms: -8 + 31 = 23
18u = 23

Divide each side by '18'.
u = 1.277777778

Simplifying
u = 1.277777778

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