3(t-3)-5(4t-1)=14-7(6t+5)

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Solution for 3(t-3)-5(4t-1)=14-7(6t+5) equation:


Simplifying
3(t + -3) + -5(4t + -1) = 14 + -7(6t + 5)

Reorder the terms:
3(-3 + t) + -5(4t + -1) = 14 + -7(6t + 5)
(-3 * 3 + t * 3) + -5(4t + -1) = 14 + -7(6t + 5)
(-9 + 3t) + -5(4t + -1) = 14 + -7(6t + 5)

Reorder the terms:
-9 + 3t + -5(-1 + 4t) = 14 + -7(6t + 5)
-9 + 3t + (-1 * -5 + 4t * -5) = 14 + -7(6t + 5)
-9 + 3t + (5 + -20t) = 14 + -7(6t + 5)

Reorder the terms:
-9 + 5 + 3t + -20t = 14 + -7(6t + 5)

Combine like terms: -9 + 5 = -4
-4 + 3t + -20t = 14 + -7(6t + 5)

Combine like terms: 3t + -20t = -17t
-4 + -17t = 14 + -7(6t + 5)

Reorder the terms:
-4 + -17t = 14 + -7(5 + 6t)
-4 + -17t = 14 + (5 * -7 + 6t * -7)
-4 + -17t = 14 + (-35 + -42t)

Combine like terms: 14 + -35 = -21
-4 + -17t = -21 + -42t

Solving
-4 + -17t = -21 + -42t

Solving for variable 't'.

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

Add '42t' to each side of the equation.
-4 + -17t + 42t = -21 + -42t + 42t

Combine like terms: -17t + 42t = 25t
-4 + 25t = -21 + -42t + 42t

Combine like terms: -42t + 42t = 0
-4 + 25t = -21 + 0
-4 + 25t = -21

Add '4' to each side of the equation.
-4 + 4 + 25t = -21 + 4

Combine like terms: -4 + 4 = 0
0 + 25t = -21 + 4
25t = -21 + 4

Combine like terms: -21 + 4 = -17
25t = -17

Divide each side by '25'.
t = -0.68

Simplifying
t = -0.68

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