7(t-5)=-3(t-4)

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Solution for 7(t-5)=-3(t-4) equation:


Simplifying
7(t + -5) = -3(t + -4)

Reorder the terms:
7(-5 + t) = -3(t + -4)
(-5 * 7 + t * 7) = -3(t + -4)
(-35 + 7t) = -3(t + -4)

Reorder the terms:
-35 + 7t = -3(-4 + t)
-35 + 7t = (-4 * -3 + t * -3)
-35 + 7t = (12 + -3t)

Solving
-35 + 7t = 12 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
-35 + 7t + 3t = 12 + -3t + 3t

Combine like terms: 7t + 3t = 10t
-35 + 10t = 12 + -3t + 3t

Combine like terms: -3t + 3t = 0
-35 + 10t = 12 + 0
-35 + 10t = 12

Add '35' to each side of the equation.
-35 + 35 + 10t = 12 + 35

Combine like terms: -35 + 35 = 0
0 + 10t = 12 + 35
10t = 12 + 35

Combine like terms: 12 + 35 = 47
10t = 47

Divide each side by '10'.
t = 4.7

Simplifying
t = 4.7

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