-6(t-7)-(t+4)=2

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


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

Reorder the terms:
-6(-7 + t) + -1(t + 4) = 2
(-7 * -6 + t * -6) + -1(t + 4) = 2
(42 + -6t) + -1(t + 4) = 2

Reorder the terms:
42 + -6t + -1(4 + t) = 2
42 + -6t + (4 * -1 + t * -1) = 2
42 + -6t + (-4 + -1t) = 2

Reorder the terms:
42 + -4 + -6t + -1t = 2

Combine like terms: 42 + -4 = 38
38 + -6t + -1t = 2

Combine like terms: -6t + -1t = -7t
38 + -7t = 2

Solving
38 + -7t = 2

Solving for variable 't'.

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

Add '-38' to each side of the equation.
38 + -38 + -7t = 2 + -38

Combine like terms: 38 + -38 = 0
0 + -7t = 2 + -38
-7t = 2 + -38

Combine like terms: 2 + -38 = -36
-7t = -36

Divide each side by '-7'.
t = 5.142857143

Simplifying
t = 5.142857143

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