Simplifying
3t(6 + 8 * 8) + 9 + -7 = 0
Multiply 8 * 8
3t(6 + 64) + 9 + -7 = 0
Combine like terms: 6 + 64 = 70
3t(70) + 9 + -7 = 0
Reorder the terms for easier multiplication:
3 * 70t + 9 + -7 = 0
Multiply 3 * 70 210t + 9 + -7 = 0
Reorder the terms:
9 + -7 + 210t = 0
Combine like terms: 9 + -7 = 2
2 + 210t = 0
Solving
2 + 210t = 0
Move all terms containing t to the left, all other terms to the right.
Add '-2' to each side of the equation. 2 + -2 + 210t = 0 + -2
Combine like terms: 2 + -2 = 0 0 + 210t = 0 + -2 210t = 0 + -2
Combine like terms: 0 + -2 = -2
210t = -2
Divide each side by '210'.
t = -0.009523809524
Simplifying
t = -0.009523809524