12178=2(37)(29)+2(37)H+2(29)H

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Solution for 12178=2(37)(29)+2(37)H+2(29)H equation: 


Simplifying
12178 = 2(37)(29) + 2(37) * H + 2(29) * H

Multiply 2 * 37
12178 = 74 * 29 + 2(37) * H + 2(29) * H

Multiply 74 * 29
12178 = 2146 + 2(37) * H + 2(29) * H

Multiply 2 * 37
12178 = 2146 + 74H + 2(29) * H

Multiply 2 * 29
12178 = 2146 + 74H + 58H

Combine like terms: 74H + 58H = 132H
12178 = 2146 + 132H

Solving
12178 = 2146 + 132H

Solving for variable 'H'.

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

Add '-132H' to each side of the equation.
12178 + -132H = 2146 + 132H + -132H

Combine like terms: 132H + -132H = 0
12178 + -132H = 2146 + 0
12178 + -132H = 2146

Add '-12178' to each side of the equation.
12178 + -12178 + -132H = 2146 + -12178

Combine like terms: 12178 + -12178 = 0
0 + -132H = 2146 + -12178
-132H = 2146 + -12178

Combine like terms: 2146 + -12178 = -10032
-132H = -10032

Divide each side by '-132'.
H = 76

Simplifying
H = 76

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