2(h+1.4)=5(h+3.1)+(h+1.1)

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Solution for 2(h+1.4)=5(h+3.1)+(h+1.1) equation:


Simplifying
2(h + 1.4) = 5(h + 3.1) + (h + 1.1)

Reorder the terms:
2(1.4 + h) = 5(h + 3.1) + (h + 1.1)
(1.4 * 2 + h * 2) = 5(h + 3.1) + (h + 1.1)
(2.8 + 2h) = 5(h + 3.1) + (h + 1.1)

Reorder the terms:
2.8 + 2h = 5(3.1 + h) + (h + 1.1)
2.8 + 2h = (3.1 * 5 + h * 5) + (h + 1.1)
2.8 + 2h = (15.5 + 5h) + (h + 1.1)

Reorder the terms:
2.8 + 2h = 15.5 + 5h + (1.1 + h)

Remove parenthesis around (1.1 + h)
2.8 + 2h = 15.5 + 5h + 1.1 + h

Reorder the terms:
2.8 + 2h = 15.5 + 1.1 + 5h + h

Combine like terms: 15.5 + 1.1 = 16.6
2.8 + 2h = 16.6 + 5h + h

Combine like terms: 5h + h = 6h
2.8 + 2h = 16.6 + 6h

Solving
2.8 + 2h = 16.6 + 6h

Solving for variable 'h'.

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

Add '-6h' to each side of the equation.
2.8 + 2h + -6h = 16.6 + 6h + -6h

Combine like terms: 2h + -6h = -4h
2.8 + -4h = 16.6 + 6h + -6h

Combine like terms: 6h + -6h = 0
2.8 + -4h = 16.6 + 0
2.8 + -4h = 16.6

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -4h = 16.6 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -4h = 16.6 + -2.8
-4h = 16.6 + -2.8

Combine like terms: 16.6 + -2.8 = 13.8
-4h = 13.8

Divide each side by '-4'.
h = -3.45

Simplifying
h = -3.45

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