6(1.5h-2)+6=5(2.2h+6)-15

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Solution for 6(1.5h-2)+6=5(2.2h+6)-15 equation:


Simplifying
6(1.5h + -2) + 6 = 5(2.2h + 6) + -15

Reorder the terms:
6(-2 + 1.5h) + 6 = 5(2.2h + 6) + -15
(-2 * 6 + 1.5h * 6) + 6 = 5(2.2h + 6) + -15
(-12 + 9h) + 6 = 5(2.2h + 6) + -15

Reorder the terms:
-12 + 6 + 9h = 5(2.2h + 6) + -15

Combine like terms: -12 + 6 = -6
-6 + 9h = 5(2.2h + 6) + -15

Reorder the terms:
-6 + 9h = 5(6 + 2.2h) + -15
-6 + 9h = (6 * 5 + 2.2h * 5) + -15
-6 + 9h = (30 + 11h) + -15

Reorder the terms:
-6 + 9h = 30 + -15 + 11h

Combine like terms: 30 + -15 = 15
-6 + 9h = 15 + 11h

Solving
-6 + 9h = 15 + 11h

Solving for variable 'h'.

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

Add '-11h' to each side of the equation.
-6 + 9h + -11h = 15 + 11h + -11h

Combine like terms: 9h + -11h = -2h
-6 + -2h = 15 + 11h + -11h

Combine like terms: 11h + -11h = 0
-6 + -2h = 15 + 0
-6 + -2h = 15

Add '6' to each side of the equation.
-6 + 6 + -2h = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -2h = 15 + 6
-2h = 15 + 6

Combine like terms: 15 + 6 = 21
-2h = 21

Divide each side by '-2'.
h = -10.5

Simplifying
h = -10.5

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