2(4t+15)-2(t+8)=-22

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Solution for 2(4t+15)-2(t+8)=-22 equation:


Simplifying
2(4t + 15) + -2(t + 8) = -22

Reorder the terms:
2(15 + 4t) + -2(t + 8) = -22
(15 * 2 + 4t * 2) + -2(t + 8) = -22
(30 + 8t) + -2(t + 8) = -22

Reorder the terms:
30 + 8t + -2(8 + t) = -22
30 + 8t + (8 * -2 + t * -2) = -22
30 + 8t + (-16 + -2t) = -22

Reorder the terms:
30 + -16 + 8t + -2t = -22

Combine like terms: 30 + -16 = 14
14 + 8t + -2t = -22

Combine like terms: 8t + -2t = 6t
14 + 6t = -22

Solving
14 + 6t = -22

Solving for variable 't'.

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

Add '-14' to each side of the equation.
14 + -14 + 6t = -22 + -14

Combine like terms: 14 + -14 = 0
0 + 6t = -22 + -14
6t = -22 + -14

Combine like terms: -22 + -14 = -36
6t = -36

Divide each side by '6'.
t = -6

Simplifying
t = -6

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