4(2t+5)-22=7t-6

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Solution for 4(2t+5)-22=7t-6 equation:


Simplifying
4(2t + 5) + -22 = 7t + -6

Reorder the terms:
4(5 + 2t) + -22 = 7t + -6
(5 * 4 + 2t * 4) + -22 = 7t + -6
(20 + 8t) + -22 = 7t + -6

Reorder the terms:
20 + -22 + 8t = 7t + -6

Combine like terms: 20 + -22 = -2
-2 + 8t = 7t + -6

Reorder the terms:
-2 + 8t = -6 + 7t

Solving
-2 + 8t = -6 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
-2 + 8t + -7t = -6 + 7t + -7t

Combine like terms: 8t + -7t = 1t
-2 + 1t = -6 + 7t + -7t

Combine like terms: 7t + -7t = 0
-2 + 1t = -6 + 0
-2 + 1t = -6

Add '2' to each side of the equation.
-2 + 2 + 1t = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 1t = -6 + 2
1t = -6 + 2

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

Divide each side by '1'.
t = -4

Simplifying
t = -4

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