-2(0.5-4t)=-3(4-3.5t)

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Solution for -2(0.5-4t)=-3(4-3.5t) equation: 


Simplifying
-2(0.5 + -4t) = -3(4 + -3.5t)
(0.5 * -2 + -4t * -2) = -3(4 + -3.5t)
(-1 + 8t) = -3(4 + -3.5t)
-1 + 8t = (4 * -3 + -3.5t * -3)
-1 + 8t = (-12 + 10.5t)

Solving
-1 + 8t = -12 + 10.5t

Solving for variable 't'.

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

Add '-10.5t' to each side of the equation.
-1 + 8t + -10.5t = -12 + 10.5t + -10.5t

Combine like terms: 8t + -10.5t = -2.5t
-1 + -2.5t = -12 + 10.5t + -10.5t

Combine like terms: 10.5t + -10.5t = 0.0
-1 + -2.5t = -12 + 0.0
-1 + -2.5t = -12

Add '1' to each side of the equation.
-1 + 1 + -2.5t = -12 + 1

Combine like terms: -1 + 1 = 0
0 + -2.5t = -12 + 1
-2.5t = -12 + 1

Combine like terms: -12 + 1 = -11
-2.5t = -11

Divide each side by '-2.5'.
t = 4.4

Simplifying
t = 4.4

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