.04(12)+.01t-.02(12+t)=0

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Solution for .04(12)+.01t-.02(12+t)=0 equation:


Simplifying
0.04(12) + 0.01t + -0.02(12 + t) = 0

Multiply 0.04 * 12
0.48 + 0.01t + -0.02(12 + t) = 0
0.48 + 0.01t + (12 * -0.02 + t * -0.02) = 0
0.48 + 0.01t + (-0.24 + -0.02t) = 0

Reorder the terms:
0.48 + -0.24 + 0.01t + -0.02t = 0

Combine like terms: 0.48 + -0.24 = 0.24
0.24 + 0.01t + -0.02t = 0

Combine like terms: 0.01t + -0.02t = -0.01t
0.24 + -0.01t = 0

Solving
0.24 + -0.01t = 0

Solving for variable 't'.

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

Add '-0.24' to each side of the equation.
0.24 + -0.24 + -0.01t = 0 + -0.24

Combine like terms: 0.24 + -0.24 = 0.00
0.00 + -0.01t = 0 + -0.24
-0.01t = 0 + -0.24

Combine like terms: 0 + -0.24 = -0.24
-0.01t = -0.24

Divide each side by '-0.01'.
t = 24

Simplifying
t = 24

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