h*30.750+(40-22.5)+h*3.503*(38-22.5)+h*17.775*(40-22.5)+h*6.358*(40-22.5)+h*30.750*(36-22.5)=1.602

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Solution for h*30.750+(40-22.5)+h*3.503*(38-22.5)+h*17.775*(40-22.5)+h*6.358*(40-22.5)+h*30.750*(36-22.5)=1.602 equation:


Simplifying
h * 30.750 + (40 + -22.5) + h * 3.503(38 + -22.5) + h * 17.775(40 + -22.5) + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602

Reorder the terms for easier multiplication:
30.750h + (40 + -22.5) + h * 3.503(38 + -22.5) + h * 17.775(40 + -22.5) + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602

Combine like terms: 40 + -22.5 = 17.5
30.750h + (17.5) + h * 3.503(38 + -22.5) + h * 17.775(40 + -22.5) + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602
30.750h + 17.5 + h * 3.503(38 + -22.5) + h * 17.775(40 + -22.5) + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602

Combine like terms: 38 + -22.5 = 15.5
30.750h + 17.5 + h * 3.503(15.5) + h * 17.775(40 + -22.5) + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602

Reorder the terms for easier multiplication:
30.750h + 17.5 + 3.503 * 15.5h + h * 17.775(40 + -22.5) + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602

Multiply 3.503 * 15.5
30.750h + 17.5 + 54.2965h + h * 17.775(40 + -22.5) + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602

Combine like terms: 40 + -22.5 = 17.5
30.750h + 17.5 + 54.2965h + h * 17.775(17.5) + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602

Reorder the terms for easier multiplication:
30.750h + 17.5 + 54.2965h + 17.775 * 17.5h + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602

Multiply 17.775 * 17.5
30.750h + 17.5 + 54.2965h + 311.0625h + h * 6.358(40 + -22.5) + h * 30.750(36 + -22.5) = 1.602

Combine like terms: 40 + -22.5 = 17.5
30.750h + 17.5 + 54.2965h + 311.0625h + h * 6.358(17.5) + h * 30.750(36 + -22.5) = 1.602

Reorder the terms for easier multiplication:
30.750h + 17.5 + 54.2965h + 311.0625h + 6.358 * 17.5h + h * 30.750(36 + -22.5) = 1.602

Multiply 6.358 * 17.5
30.750h + 17.5 + 54.2965h + 311.0625h + 111.265h + h * 30.750(36 + -22.5) = 1.602

Combine like terms: 36 + -22.5 = 13.5
30.750h + 17.5 + 54.2965h + 311.0625h + 111.265h + h * 30.750(13.5) = 1.602

Reorder the terms for easier multiplication:
30.750h + 17.5 + 54.2965h + 311.0625h + 111.265h + 30.750 * 13.5h = 1.602

Multiply 30.750 * 13.5
30.750h + 17.5 + 54.2965h + 311.0625h + 111.265h + 415.125h = 1.602

Reorder the terms:
17.5 + 30.750h + 54.2965h + 311.0625h + 111.265h + 415.125h = 1.602

Combine like terms: 30.750h + 54.2965h = 85.0465h
17.5 + 85.0465h + 311.0625h + 111.265h + 415.125h = 1.602

Combine like terms: 85.0465h + 311.0625h = 396.109h
17.5 + 396.109h + 111.265h + 415.125h = 1.602

Combine like terms: 396.109h + 111.265h = 507.374h
17.5 + 507.374h + 415.125h = 1.602

Combine like terms: 507.374h + 415.125h = 922.499h
17.5 + 922.499h = 1.602

Solving
17.5 + 922.499h = 1.602

Solving for variable 'h'.

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

Add '-17.5' to each side of the equation.
17.5 + -17.5 + 922.499h = 1.602 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 922.499h = 1.602 + -17.5
922.499h = 1.602 + -17.5

Combine like terms: 1.602 + -17.5 = -15.898
922.499h = -15.898

Divide each side by '922.499'.
h = -0.01723362302

Simplifying
h = -0.01723362302

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