4t+8-6(2+1)=3(4t-3)-7(t-2)

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Solution for 4t+8-6(2+1)=3(4t-3)-7(t-2) equation:


Simplifying
4t + 8 + -6(2 + 1) = 3(4t + -3) + -7(t + -2)

Combine like terms: 2 + 1 = 3
4t + 8 + -6(3) = 3(4t + -3) + -7(t + -2)

Multiply -6 * 3
4t + 8 + -18 = 3(4t + -3) + -7(t + -2)

Reorder the terms:
8 + -18 + 4t = 3(4t + -3) + -7(t + -2)

Combine like terms: 8 + -18 = -10
-10 + 4t = 3(4t + -3) + -7(t + -2)

Reorder the terms:
-10 + 4t = 3(-3 + 4t) + -7(t + -2)
-10 + 4t = (-3 * 3 + 4t * 3) + -7(t + -2)
-10 + 4t = (-9 + 12t) + -7(t + -2)

Reorder the terms:
-10 + 4t = -9 + 12t + -7(-2 + t)
-10 + 4t = -9 + 12t + (-2 * -7 + t * -7)
-10 + 4t = -9 + 12t + (14 + -7t)

Reorder the terms:
-10 + 4t = -9 + 14 + 12t + -7t

Combine like terms: -9 + 14 = 5
-10 + 4t = 5 + 12t + -7t

Combine like terms: 12t + -7t = 5t
-10 + 4t = 5 + 5t

Solving
-10 + 4t = 5 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-10 + 4t + -5t = 5 + 5t + -5t

Combine like terms: 4t + -5t = -1t
-10 + -1t = 5 + 5t + -5t

Combine like terms: 5t + -5t = 0
-10 + -1t = 5 + 0
-10 + -1t = 5

Add '10' to each side of the equation.
-10 + 10 + -1t = 5 + 10

Combine like terms: -10 + 10 = 0
0 + -1t = 5 + 10
-1t = 5 + 10

Combine like terms: 5 + 10 = 15
-1t = 15

Divide each side by '-1'.
t = -15

Simplifying
t = -15

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