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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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