3.2(t-7)=-6.4(t-4)

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Solution for 3.2(t-7)=-6.4(t-4) equation: 


Simplifying
3.2(t + -7) = -6.4(t + -4)

Reorder the terms:
3.2(-7 + t) = -6.4(t + -4)
(-7 * 3.2 + t * 3.2) = -6.4(t + -4)
(-22.4 + 3.2t) = -6.4(t + -4)

Reorder the terms:
-22.4 + 3.2t = -6.4(-4 + t)
-22.4 + 3.2t = (-4 * -6.4 + t * -6.4)
-22.4 + 3.2t = (25.6 + -6.4t)

Solving
-22.4 + 3.2t = 25.6 + -6.4t

Solving for variable 't'.

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

Add '6.4t' to each side of the equation.
-22.4 + 3.2t + 6.4t = 25.6 + -6.4t + 6.4t

Combine like terms: 3.2t + 6.4t = 9.6t
-22.4 + 9.6t = 25.6 + -6.4t + 6.4t

Combine like terms: -6.4t + 6.4t = 0.0
-22.4 + 9.6t = 25.6 + 0.0
-22.4 + 9.6t = 25.6

Add '22.4' to each side of the equation.
-22.4 + 22.4 + 9.6t = 25.6 + 22.4

Combine like terms: -22.4 + 22.4 = 0.0
0.0 + 9.6t = 25.6 + 22.4
9.6t = 25.6 + 22.4

Combine like terms: 25.6 + 22.4 = 48
9.6t = 48

Divide each side by '9.6'.
t = 5

Simplifying
t = 5

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