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

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


Simplifying
2(5 + -1t) * 7 + 6t = t + 22

Reorder the terms for easier multiplication:
2 * 7(5 + -1t) + 6t = t + 22

Multiply 2 * 7
14(5 + -1t) + 6t = t + 22
(5 * 14 + -1t * 14) + 6t = t + 22
(70 + -14t) + 6t = t + 22

Combine like terms: -14t + 6t = -8t
70 + -8t = t + 22

Reorder the terms:
70 + -8t = 22 + t

Solving
70 + -8t = 22 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
70 + -8t + -1t = 22 + t + -1t

Combine like terms: -8t + -1t = -9t
70 + -9t = 22 + t + -1t

Combine like terms: t + -1t = 0
70 + -9t = 22 + 0
70 + -9t = 22

Add '-70' to each side of the equation.
70 + -70 + -9t = 22 + -70

Combine like terms: 70 + -70 = 0
0 + -9t = 22 + -70
-9t = 22 + -70

Combine like terms: 22 + -70 = -48
-9t = -48

Divide each side by '-9'.
t = 5.333333333

Simplifying
t = 5.333333333

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