0.07(3h-4)-0.05(6h-1)=0.4

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Solution for 0.07(3h-4)-0.05(6h-1)=0.4 equation: 


Simplifying
0.07(3h + -4) + -0.05(6h + -1) = 0.4

Reorder the terms:
0.07(-4 + 3h) + -0.05(6h + -1) = 0.4
(-4 * 0.07 + 3h * 0.07) + -0.05(6h + -1) = 0.4
(-0.28 + 0.21h) + -0.05(6h + -1) = 0.4

Reorder the terms:
-0.28 + 0.21h + -0.05(-1 + 6h) = 0.4
-0.28 + 0.21h + (-1 * -0.05 + 6h * -0.05) = 0.4
-0.28 + 0.21h + (0.05 + -0.3h) = 0.4

Reorder the terms:
-0.28 + 0.05 + 0.21h + -0.3h = 0.4

Combine like terms: -0.28 + 0.05 = -0.23
-0.23 + 0.21h + -0.3h = 0.4

Combine like terms: 0.21h + -0.3h = -0.09h
-0.23 + -0.09h = 0.4

Solving
-0.23 + -0.09h = 0.4

Solving for variable 'h'.

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

Add '0.23' to each side of the equation.
-0.23 + 0.23 + -0.09h = 0.4 + 0.23

Combine like terms: -0.23 + 0.23 = 0.00
0.00 + -0.09h = 0.4 + 0.23
-0.09h = 0.4 + 0.23

Combine like terms: 0.4 + 0.23 = 0.63
-0.09h = 0.63

Divide each side by '-0.09'.
h = -7

Simplifying
h = -7

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