7(6t+1)-15=t-(t+7)

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Solution for 7(6t+1)-15=t-(t+7) equation:


Simplifying
7(6t + 1) + -15 = t + -1(t + 7)

Reorder the terms:
7(1 + 6t) + -15 = t + -1(t + 7)
(1 * 7 + 6t * 7) + -15 = t + -1(t + 7)
(7 + 42t) + -15 = t + -1(t + 7)

Reorder the terms:
7 + -15 + 42t = t + -1(t + 7)

Combine like terms: 7 + -15 = -8
-8 + 42t = t + -1(t + 7)

Reorder the terms:
-8 + 42t = t + -1(7 + t)
-8 + 42t = t + (7 * -1 + t * -1)
-8 + 42t = t + (-7 + -1t)

Reorder the terms:
-8 + 42t = -7 + t + -1t

Combine like terms: t + -1t = 0
-8 + 42t = -7 + 0
-8 + 42t = -7

Solving
-8 + 42t = -7

Solving for variable 't'.

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

Add '8' to each side of the equation.
-8 + 8 + 42t = -7 + 8

Combine like terms: -8 + 8 = 0
0 + 42t = -7 + 8
42t = -7 + 8

Combine like terms: -7 + 8 = 1
42t = 1

Divide each side by '42'.
t = 0.02380952381

Simplifying
t = 0.02380952381

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