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

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Solution for 6-15(5t+6)=t+6-(7+8)+1 equation:


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

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

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

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

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

Reorder the terms:
-84 + -75t = 6 + -15 + 1 + t

Combine like terms: 6 + -15 = -9
-84 + -75t = -9 + 1 + t

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

Solving
-84 + -75t = -8 + 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 = -8 + t + -1t

Combine like terms: -75t + -1t = -76t
-84 + -76t = -8 + t + -1t

Combine like terms: t + -1t = 0
-84 + -76t = -8 + 0
-84 + -76t = -8

Add '84' to each side of the equation.
-84 + 84 + -76t = -8 + 84

Combine like terms: -84 + 84 = 0
0 + -76t = -8 + 84
-76t = -8 + 84

Combine like terms: -8 + 84 = 76
-76t = 76

Divide each side by '-76'.
t = -1

Simplifying
t = -1

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