0.5t+0.259(t+16)=4+0.75t

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Solution for 0.5t+0.259(t+16)=4+0.75t equation: 


Simplifying
0.5t + 0.259(t + 16) = 4 + 0.75t

Reorder the terms:
0.5t + 0.259(16 + t) = 4 + 0.75t
0.5t + (16 * 0.259 + t * 0.259) = 4 + 0.75t
0.5t + (4.144 + 0.259t) = 4 + 0.75t

Reorder the terms:
4.144 + 0.5t + 0.259t = 4 + 0.75t

Combine like terms: 0.5t + 0.259t = 0.759t
4.144 + 0.759t = 4 + 0.75t

Solving
4.144 + 0.759t = 4 + 0.75t

Solving for variable 't'.

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

Add '-0.75t' to each side of the equation.
4.144 + 0.759t + -0.75t = 4 + 0.75t + -0.75t

Combine like terms: 0.759t + -0.75t = 0.009t
4.144 + 0.009t = 4 + 0.75t + -0.75t

Combine like terms: 0.75t + -0.75t = 0.00
4.144 + 0.009t = 4 + 0.00
4.144 + 0.009t = 4

Add '-4.144' to each side of the equation.
4.144 + -4.144 + 0.009t = 4 + -4.144

Combine like terms: 4.144 + -4.144 = 0.000
0.000 + 0.009t = 4 + -4.144
0.009t = 4 + -4.144

Combine like terms: 4 + -4.144 = -0.144
0.009t = -0.144

Divide each side by '0.009'.
t = -16

Simplifying
t = -16

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