4(t-4)-5(2t-1)=7-7(3t+5)

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Solution for 4(t-4)-5(2t-1)=7-7(3t+5) equation:


Simplifying
4(t + -4) + -5(2t + -1) = 7 + -7(3t + 5)

Reorder the terms:
4(-4 + t) + -5(2t + -1) = 7 + -7(3t + 5)
(-4 * 4 + t * 4) + -5(2t + -1) = 7 + -7(3t + 5)
(-16 + 4t) + -5(2t + -1) = 7 + -7(3t + 5)

Reorder the terms:
-16 + 4t + -5(-1 + 2t) = 7 + -7(3t + 5)
-16 + 4t + (-1 * -5 + 2t * -5) = 7 + -7(3t + 5)
-16 + 4t + (5 + -10t) = 7 + -7(3t + 5)

Reorder the terms:
-16 + 5 + 4t + -10t = 7 + -7(3t + 5)

Combine like terms: -16 + 5 = -11
-11 + 4t + -10t = 7 + -7(3t + 5)

Combine like terms: 4t + -10t = -6t
-11 + -6t = 7 + -7(3t + 5)

Reorder the terms:
-11 + -6t = 7 + -7(5 + 3t)
-11 + -6t = 7 + (5 * -7 + 3t * -7)
-11 + -6t = 7 + (-35 + -21t)

Combine like terms: 7 + -35 = -28
-11 + -6t = -28 + -21t

Solving
-11 + -6t = -28 + -21t

Solving for variable 't'.

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

Add '21t' to each side of the equation.
-11 + -6t + 21t = -28 + -21t + 21t

Combine like terms: -6t + 21t = 15t
-11 + 15t = -28 + -21t + 21t

Combine like terms: -21t + 21t = 0
-11 + 15t = -28 + 0
-11 + 15t = -28

Add '11' to each side of the equation.
-11 + 11 + 15t = -28 + 11

Combine like terms: -11 + 11 = 0
0 + 15t = -28 + 11
15t = -28 + 11

Combine like terms: -28 + 11 = -17
15t = -17

Divide each side by '15'.
t = -1.133333333

Simplifying
t = -1.133333333

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