2(10-t)+6=-6(t-3)

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Solution for 2(10-t)+6=-6(t-3) equation: 


Simplifying
2(10 + -1t) + 6 = -6(t + -3)
(10 * 2 + -1t * 2) + 6 = -6(t + -3)
(20 + -2t) + 6 = -6(t + -3)

Reorder the terms:
20 + 6 + -2t = -6(t + -3)

Combine like terms: 20 + 6 = 26
26 + -2t = -6(t + -3)

Reorder the terms:
26 + -2t = -6(-3 + t)
26 + -2t = (-3 * -6 + t * -6)
26 + -2t = (18 + -6t)

Solving
26 + -2t = 18 + -6t

Solving for variable 't'.

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

Add '6t' to each side of the equation.
26 + -2t + 6t = 18 + -6t + 6t

Combine like terms: -2t + 6t = 4t
26 + 4t = 18 + -6t + 6t

Combine like terms: -6t + 6t = 0
26 + 4t = 18 + 0
26 + 4t = 18

Add '-26' to each side of the equation.
26 + -26 + 4t = 18 + -26

Combine like terms: 26 + -26 = 0
0 + 4t = 18 + -26
4t = 18 + -26

Combine like terms: 18 + -26 = -8
4t = -8

Divide each side by '4'.
t = -2

Simplifying
t = -2

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