6-15(5t+6)=t+6-(7+8)+8

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Solution for 6-15(5t+6)=t+6-(7+8)+8 equation:


Simplifying
6 + -15(5t + 6) = t + 6 + -1(7 + 8) + 8

Reorder the terms:
6 + -15(6 + 5t) = t + 6 + -1(7 + 8) + 8
6 + (6 * -15 + 5t * -15) = t + 6 + -1(7 + 8) + 8
6 + (-90 + -75t) = t + 6 + -1(7 + 8) + 8

Combine like terms: 6 + -90 = -84
-84 + -75t = t + 6 + -1(7 + 8) + 8

Combine like terms: 7 + 8 = 15
-84 + -75t = t + 6 + -1(15) + 8

Multiply -1 * 15
-84 + -75t = t + 6 + -15 + 8

Reorder the terms:
-84 + -75t = 6 + -15 + 8 + t

Combine like terms: 6 + -15 = -9
-84 + -75t = -9 + 8 + t

Combine like terms: -9 + 8 = -1
-84 + -75t = -1 + t

Solving
-84 + -75t = -1 + 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.
-84 + -75t + -1t = -1 + t + -1t

Combine like terms: -75t + -1t = -76t
-84 + -76t = -1 + t + -1t

Combine like terms: t + -1t = 0
-84 + -76t = -1 + 0
-84 + -76t = -1

Add '84' to each side of the equation.
-84 + 84 + -76t = -1 + 84

Combine like terms: -84 + 84 = 0
0 + -76t = -1 + 84
-76t = -1 + 84

Combine like terms: -1 + 84 = 83
-76t = 83

Divide each side by '-76'.
t = -1.092105263

Simplifying
t = -1.092105263

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