4-1(3h+2)=1-1(5-7h)

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Solution for 4-1(3h+2)=1-1(5-7h) equation:


Simplifying
4 + -1(3h + 2) = 1 + -1(5 + -7h)

Reorder the terms:
4 + -1(2 + 3h) = 1 + -1(5 + -7h)
4 + (2 * -1 + 3h * -1) = 1 + -1(5 + -7h)
4 + (-2 + -3h) = 1 + -1(5 + -7h)

Combine like terms: 4 + -2 = 2
2 + -3h = 1 + -1(5 + -7h)
2 + -3h = 1 + (5 * -1 + -7h * -1)
2 + -3h = 1 + (-5 + 7h)

Combine like terms: 1 + -5 = -4
2 + -3h = -4 + 7h

Solving
2 + -3h = -4 + 7h

Solving for variable 'h'.

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

Add '-7h' to each side of the equation.
2 + -3h + -7h = -4 + 7h + -7h

Combine like terms: -3h + -7h = -10h
2 + -10h = -4 + 7h + -7h

Combine like terms: 7h + -7h = 0
2 + -10h = -4 + 0
2 + -10h = -4

Add '-2' to each side of the equation.
2 + -2 + -10h = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -10h = -4 + -2
-10h = -4 + -2

Combine like terms: -4 + -2 = -6
-10h = -6

Divide each side by '-10'.
h = 0.6

Simplifying
h = 0.6

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