.5(t+6)=1.5t-1

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Solution for .5(t+6)=1.5t-1 equation:


Simplifying
0.5(t + 6) = 1.5t + -1

Reorder the terms:
0.5(6 + t) = 1.5t + -1
(6 * 0.5 + t * 0.5) = 1.5t + -1
(3 + 0.5t) = 1.5t + -1

Reorder the terms:
3 + 0.5t = -1 + 1.5t

Solving
3 + 0.5t = -1 + 1.5t

Solving for variable 't'.

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

Add '-1.5t' to each side of the equation.
3 + 0.5t + -1.5t = -1 + 1.5t + -1.5t

Combine like terms: 0.5t + -1.5t = -1t
3 + -1t = -1 + 1.5t + -1.5t

Combine like terms: 1.5t + -1.5t = 0.0
3 + -1t = -1 + 0.0
3 + -1t = -1

Add '-3' to each side of the equation.
3 + -3 + -1t = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = -1 + -3
-1t = -1 + -3

Combine like terms: -1 + -3 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4

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