5(1+3h)-(71+8m)=-6

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Solution for 5(1+3h)-(71+8m)=-6 equation:


Simplifying
5(1 + 3h) + -1(71 + 8m) = -6
(1 * 5 + 3h * 5) + -1(71 + 8m) = -6
(5 + 15h) + -1(71 + 8m) = -6
5 + 15h + (71 * -1 + 8m * -1) = -6
5 + 15h + (-71 + -8m) = -6

Reorder the terms:
5 + -71 + 15h + -8m = -6

Combine like terms: 5 + -71 = -66
-66 + 15h + -8m = -6

Solving
-66 + 15h + -8m = -6

Solving for variable 'h'.

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

Add '66' to each side of the equation.
-66 + 15h + 66 + -8m = -6 + 66

Reorder the terms:
-66 + 66 + 15h + -8m = -6 + 66

Combine like terms: -66 + 66 = 0
0 + 15h + -8m = -6 + 66
15h + -8m = -6 + 66

Combine like terms: -6 + 66 = 60
15h + -8m = 60

Add '8m' to each side of the equation.
15h + -8m + 8m = 60 + 8m

Combine like terms: -8m + 8m = 0
15h + 0 = 60 + 8m
15h = 60 + 8m

Divide each side by '15'.
h = 4 + 0.5333333333m

Simplifying
h = 4 + 0.5333333333m

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